Pythagoras theorem and ratio question












-1












$begingroup$


https://gyazo.com/66f47546602b91315cceecd66927c129



In triangle PQR, X is a point on PQ. RX is perpendicular to PQ.
Work out the ratio PX : XQ. Give your answer in its simplest form.















Answer ________ : ________










share|cite|improve this question









$endgroup$








  • 3




    $begingroup$
    What is the problem you are facing in the problem? Any thoughts?
    $endgroup$
    – Matti P.
    Dec 7 '18 at 7:54










  • $begingroup$
    It would be better if you showed your work too, including where and why you’re stuck.
    $endgroup$
    – KM101
    Dec 7 '18 at 7:58










  • $begingroup$
    Thank you for replying and sorry for not providing enough information. I simply don't get the question, when it says to work out the ratio of PX : XQ, I just don't get what I am supposed to do. I know what a ratio is but I am confused over what to do. Thank you for understanding
    $endgroup$
    – THELichCA
    Dec 7 '18 at 8:08










  • $begingroup$
    You need to use the Pythagorean Theorem to calculate the length of the sides $overline{PX}$ and $overline{XQ}$. Then, you can find the ratio of their sides by $frac{overline{PX}}{overline{XQ}}$.
    $endgroup$
    – KM101
    Dec 7 '18 at 8:11












  • $begingroup$
    So the ratio will simply be: "The length of PX : The length of XQ"?
    $endgroup$
    – THELichCA
    Dec 7 '18 at 8:13
















-1












$begingroup$


https://gyazo.com/66f47546602b91315cceecd66927c129



In triangle PQR, X is a point on PQ. RX is perpendicular to PQ.
Work out the ratio PX : XQ. Give your answer in its simplest form.















Answer ________ : ________










share|cite|improve this question









$endgroup$








  • 3




    $begingroup$
    What is the problem you are facing in the problem? Any thoughts?
    $endgroup$
    – Matti P.
    Dec 7 '18 at 7:54










  • $begingroup$
    It would be better if you showed your work too, including where and why you’re stuck.
    $endgroup$
    – KM101
    Dec 7 '18 at 7:58










  • $begingroup$
    Thank you for replying and sorry for not providing enough information. I simply don't get the question, when it says to work out the ratio of PX : XQ, I just don't get what I am supposed to do. I know what a ratio is but I am confused over what to do. Thank you for understanding
    $endgroup$
    – THELichCA
    Dec 7 '18 at 8:08










  • $begingroup$
    You need to use the Pythagorean Theorem to calculate the length of the sides $overline{PX}$ and $overline{XQ}$. Then, you can find the ratio of their sides by $frac{overline{PX}}{overline{XQ}}$.
    $endgroup$
    – KM101
    Dec 7 '18 at 8:11












  • $begingroup$
    So the ratio will simply be: "The length of PX : The length of XQ"?
    $endgroup$
    – THELichCA
    Dec 7 '18 at 8:13














-1












-1








-1





$begingroup$


https://gyazo.com/66f47546602b91315cceecd66927c129



In triangle PQR, X is a point on PQ. RX is perpendicular to PQ.
Work out the ratio PX : XQ. Give your answer in its simplest form.















Answer ________ : ________










share|cite|improve this question









$endgroup$




https://gyazo.com/66f47546602b91315cceecd66927c129



In triangle PQR, X is a point on PQ. RX is perpendicular to PQ.
Work out the ratio PX : XQ. Give your answer in its simplest form.















Answer ________ : ________







ratio






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Dec 7 '18 at 7:53









THELichCATHELichCA

1




1








  • 3




    $begingroup$
    What is the problem you are facing in the problem? Any thoughts?
    $endgroup$
    – Matti P.
    Dec 7 '18 at 7:54










  • $begingroup$
    It would be better if you showed your work too, including where and why you’re stuck.
    $endgroup$
    – KM101
    Dec 7 '18 at 7:58










  • $begingroup$
    Thank you for replying and sorry for not providing enough information. I simply don't get the question, when it says to work out the ratio of PX : XQ, I just don't get what I am supposed to do. I know what a ratio is but I am confused over what to do. Thank you for understanding
    $endgroup$
    – THELichCA
    Dec 7 '18 at 8:08










  • $begingroup$
    You need to use the Pythagorean Theorem to calculate the length of the sides $overline{PX}$ and $overline{XQ}$. Then, you can find the ratio of their sides by $frac{overline{PX}}{overline{XQ}}$.
    $endgroup$
    – KM101
    Dec 7 '18 at 8:11












  • $begingroup$
    So the ratio will simply be: "The length of PX : The length of XQ"?
    $endgroup$
    – THELichCA
    Dec 7 '18 at 8:13














  • 3




    $begingroup$
    What is the problem you are facing in the problem? Any thoughts?
    $endgroup$
    – Matti P.
    Dec 7 '18 at 7:54










  • $begingroup$
    It would be better if you showed your work too, including where and why you’re stuck.
    $endgroup$
    – KM101
    Dec 7 '18 at 7:58










  • $begingroup$
    Thank you for replying and sorry for not providing enough information. I simply don't get the question, when it says to work out the ratio of PX : XQ, I just don't get what I am supposed to do. I know what a ratio is but I am confused over what to do. Thank you for understanding
    $endgroup$
    – THELichCA
    Dec 7 '18 at 8:08










  • $begingroup$
    You need to use the Pythagorean Theorem to calculate the length of the sides $overline{PX}$ and $overline{XQ}$. Then, you can find the ratio of their sides by $frac{overline{PX}}{overline{XQ}}$.
    $endgroup$
    – KM101
    Dec 7 '18 at 8:11












  • $begingroup$
    So the ratio will simply be: "The length of PX : The length of XQ"?
    $endgroup$
    – THELichCA
    Dec 7 '18 at 8:13








3




3




$begingroup$
What is the problem you are facing in the problem? Any thoughts?
$endgroup$
– Matti P.
Dec 7 '18 at 7:54




$begingroup$
What is the problem you are facing in the problem? Any thoughts?
$endgroup$
– Matti P.
Dec 7 '18 at 7:54












$begingroup$
It would be better if you showed your work too, including where and why you’re stuck.
$endgroup$
– KM101
Dec 7 '18 at 7:58




$begingroup$
It would be better if you showed your work too, including where and why you’re stuck.
$endgroup$
– KM101
Dec 7 '18 at 7:58












$begingroup$
Thank you for replying and sorry for not providing enough information. I simply don't get the question, when it says to work out the ratio of PX : XQ, I just don't get what I am supposed to do. I know what a ratio is but I am confused over what to do. Thank you for understanding
$endgroup$
– THELichCA
Dec 7 '18 at 8:08




$begingroup$
Thank you for replying and sorry for not providing enough information. I simply don't get the question, when it says to work out the ratio of PX : XQ, I just don't get what I am supposed to do. I know what a ratio is but I am confused over what to do. Thank you for understanding
$endgroup$
– THELichCA
Dec 7 '18 at 8:08












$begingroup$
You need to use the Pythagorean Theorem to calculate the length of the sides $overline{PX}$ and $overline{XQ}$. Then, you can find the ratio of their sides by $frac{overline{PX}}{overline{XQ}}$.
$endgroup$
– KM101
Dec 7 '18 at 8:11






$begingroup$
You need to use the Pythagorean Theorem to calculate the length of the sides $overline{PX}$ and $overline{XQ}$. Then, you can find the ratio of their sides by $frac{overline{PX}}{overline{XQ}}$.
$endgroup$
– KM101
Dec 7 '18 at 8:11














$begingroup$
So the ratio will simply be: "The length of PX : The length of XQ"?
$endgroup$
– THELichCA
Dec 7 '18 at 8:13




$begingroup$
So the ratio will simply be: "The length of PX : The length of XQ"?
$endgroup$
– THELichCA
Dec 7 '18 at 8:13










1 Answer
1






active

oldest

votes


















0












$begingroup$

enter image description here



Note that $triangle PXR, triangle QXR$ are right angled at $X$. Use the pythagorean theorem in both triangles:



$PX^2+RX^2=PX^2+16^2=PR^2=20^2implies PX=sqrt{20^2-16^2}$



$QX^2+RX^2=QX^2+16^2=QR^2=34^2implies QX=sqrt{34^2-16^2}$



Can you now work out the ratio $PX:QX=frac{PX}{QX}$ in simplest terms?






share|cite|improve this answer









$endgroup$













  • $begingroup$
    The ratio would be 12:30 = 6:15 = 2:3
    $endgroup$
    – THELichCA
    Dec 7 '18 at 8:19










  • $begingroup$
    Yes, that's correct. $12:30::2:5$
    $endgroup$
    – Shubham Johri
    Dec 7 '18 at 8:20










  • $begingroup$
    You simplified the ratio incorrectly. $6:15 implies 2:5$. Other than that, it’s correct.
    $endgroup$
    – KM101
    Dec 7 '18 at 8:22













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1 Answer
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active

oldest

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1 Answer
1






active

oldest

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active

oldest

votes






active

oldest

votes









0












$begingroup$

enter image description here



Note that $triangle PXR, triangle QXR$ are right angled at $X$. Use the pythagorean theorem in both triangles:



$PX^2+RX^2=PX^2+16^2=PR^2=20^2implies PX=sqrt{20^2-16^2}$



$QX^2+RX^2=QX^2+16^2=QR^2=34^2implies QX=sqrt{34^2-16^2}$



Can you now work out the ratio $PX:QX=frac{PX}{QX}$ in simplest terms?






share|cite|improve this answer









$endgroup$













  • $begingroup$
    The ratio would be 12:30 = 6:15 = 2:3
    $endgroup$
    – THELichCA
    Dec 7 '18 at 8:19










  • $begingroup$
    Yes, that's correct. $12:30::2:5$
    $endgroup$
    – Shubham Johri
    Dec 7 '18 at 8:20










  • $begingroup$
    You simplified the ratio incorrectly. $6:15 implies 2:5$. Other than that, it’s correct.
    $endgroup$
    – KM101
    Dec 7 '18 at 8:22


















0












$begingroup$

enter image description here



Note that $triangle PXR, triangle QXR$ are right angled at $X$. Use the pythagorean theorem in both triangles:



$PX^2+RX^2=PX^2+16^2=PR^2=20^2implies PX=sqrt{20^2-16^2}$



$QX^2+RX^2=QX^2+16^2=QR^2=34^2implies QX=sqrt{34^2-16^2}$



Can you now work out the ratio $PX:QX=frac{PX}{QX}$ in simplest terms?






share|cite|improve this answer









$endgroup$













  • $begingroup$
    The ratio would be 12:30 = 6:15 = 2:3
    $endgroup$
    – THELichCA
    Dec 7 '18 at 8:19










  • $begingroup$
    Yes, that's correct. $12:30::2:5$
    $endgroup$
    – Shubham Johri
    Dec 7 '18 at 8:20










  • $begingroup$
    You simplified the ratio incorrectly. $6:15 implies 2:5$. Other than that, it’s correct.
    $endgroup$
    – KM101
    Dec 7 '18 at 8:22
















0












0








0





$begingroup$

enter image description here



Note that $triangle PXR, triangle QXR$ are right angled at $X$. Use the pythagorean theorem in both triangles:



$PX^2+RX^2=PX^2+16^2=PR^2=20^2implies PX=sqrt{20^2-16^2}$



$QX^2+RX^2=QX^2+16^2=QR^2=34^2implies QX=sqrt{34^2-16^2}$



Can you now work out the ratio $PX:QX=frac{PX}{QX}$ in simplest terms?






share|cite|improve this answer









$endgroup$



enter image description here



Note that $triangle PXR, triangle QXR$ are right angled at $X$. Use the pythagorean theorem in both triangles:



$PX^2+RX^2=PX^2+16^2=PR^2=20^2implies PX=sqrt{20^2-16^2}$



$QX^2+RX^2=QX^2+16^2=QR^2=34^2implies QX=sqrt{34^2-16^2}$



Can you now work out the ratio $PX:QX=frac{PX}{QX}$ in simplest terms?







share|cite|improve this answer












share|cite|improve this answer



share|cite|improve this answer










answered Dec 7 '18 at 8:17









Shubham JohriShubham Johri

4,689717




4,689717












  • $begingroup$
    The ratio would be 12:30 = 6:15 = 2:3
    $endgroup$
    – THELichCA
    Dec 7 '18 at 8:19










  • $begingroup$
    Yes, that's correct. $12:30::2:5$
    $endgroup$
    – Shubham Johri
    Dec 7 '18 at 8:20










  • $begingroup$
    You simplified the ratio incorrectly. $6:15 implies 2:5$. Other than that, it’s correct.
    $endgroup$
    – KM101
    Dec 7 '18 at 8:22




















  • $begingroup$
    The ratio would be 12:30 = 6:15 = 2:3
    $endgroup$
    – THELichCA
    Dec 7 '18 at 8:19










  • $begingroup$
    Yes, that's correct. $12:30::2:5$
    $endgroup$
    – Shubham Johri
    Dec 7 '18 at 8:20










  • $begingroup$
    You simplified the ratio incorrectly. $6:15 implies 2:5$. Other than that, it’s correct.
    $endgroup$
    – KM101
    Dec 7 '18 at 8:22


















$begingroup$
The ratio would be 12:30 = 6:15 = 2:3
$endgroup$
– THELichCA
Dec 7 '18 at 8:19




$begingroup$
The ratio would be 12:30 = 6:15 = 2:3
$endgroup$
– THELichCA
Dec 7 '18 at 8:19












$begingroup$
Yes, that's correct. $12:30::2:5$
$endgroup$
– Shubham Johri
Dec 7 '18 at 8:20




$begingroup$
Yes, that's correct. $12:30::2:5$
$endgroup$
– Shubham Johri
Dec 7 '18 at 8:20












$begingroup$
You simplified the ratio incorrectly. $6:15 implies 2:5$. Other than that, it’s correct.
$endgroup$
– KM101
Dec 7 '18 at 8:22






$begingroup$
You simplified the ratio incorrectly. $6:15 implies 2:5$. Other than that, it’s correct.
$endgroup$
– KM101
Dec 7 '18 at 8:22




















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