gmatophobia wrote:
Bunuel wrote:
In triangle PQS above, if PQ = 3 and PS = 4, then PR = ____.
(A) 9/4
(B) 12/5
(C) 16/5
(D) 15/4
(E)20/3
Attachment:
2022-12-27_20-19-40.png
Using Pythagoras'theorem,
\( QS^2 = QP^2 +PS^2\)
QS = QR + RS = 5
Area of\( \triangleQRP\) + Area of\( \triangleRSP\) = Area of\( \triangleQPS\)
1/2 * PR * QR + 1/2 * PR * RS = 1/2 * 4 * 3
PR(QR + RS) = 4 * 3
PR * 5 = 12
PR =12/5
OptionB
Hi! Thank you for the resolution but I have a doubt:
Why can't I assume, based on the angles, that the two smaller triangles are also 30-60-90?
And thus deduce the length of the PR side? I am having trouble visualizing the concept of having to arrive at this answer through the areas, by having this in mind..
Could you please lmk where am I wrong here?
Thanks!
...
Statistics : Posted by Amobnc • on 23 Jan 2023, 12:15 • Replies 2 • Views 731
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