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In the diagram below, PQR is a triangle, right-angled at Q. A point S [#permalink]
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Answer (C)

Statement 1: PQ = 24, QR = 7, no idea of how the shape of SAQB => InSufficient
Statement 2: SQAB is square

Let the side 'x' be length of the side of the square.

Since, Triangle PAS, Triangle PQR are similiar.
By similarity property,
\(PQ/QR = (PQ - x)/x\) => no info about PQ and QR to find value of x => InSufficient

Combining, 1+2, we can find the value of x as we know PQ and QR and hence area of square, which can be expressed as fraction of area of triangle PQR
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Re: In the diagram below, PQR is a triangle, right-angled at Q. A point S [#permalink]
sisirkant wrote:
Why the answer is not B? If saqb is a square than pqr is 45 90 45 angled. In that case area of saqb is half the area of pqr. Am I missing anything here? Please explain. Thanks

Posted from my mobile device


Hi

May I know how you concluded on the basis of 'SAQB is a square' that triangle PQR is 45-90-45 triangle?
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Re: In the diagram below, PQR is a triangle, right-angled at Q. A point S [#permalink]
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Re: In the diagram below, PQR is a triangle, right-angled at Q. A point S [#permalink]
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