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Question

In the given figure, ABCPQR and AM and PN are medians of ABC and PQR respectively. Then Area of ABCArea of PQR = _____


A

AB2PQ2

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B

AM2PN2

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C
(a) and (b) above.
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D
PQ2QR2
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Solution

The correct option is C (a) and (b) above.

We are given two triangles ABC and PQR such that ABC PQR.

So, ABPQ=BCQR=ACPR

ABPQ=2BM2QN=BMQN

ABPQ=BMQN

B = Q

ABM PQN (by SAS similarity criterion)

ABPQ=AMPN

So , area of ABCareaof PQR=AB2PQ2=AM2PN2


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