Math, asked by deepa05082004, 10 months ago

can anyone solve this​

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Answers

Answered by bharatahlawat4142
1

Step-by-step explanation:

hope this answer will help you

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Answered by devilpreetsharma
1

Answer:

this is your answer

Step-by-step explanation:

let ABC = ⚠PQR

and AD,PS are the median...

to prove =

 \frac{area \: of \: triangle \: abc}{area \: of \: tringle \: pqr } =  \frac{ {ad}^{2} }{ {ps}^{2} }

proof: abc &⚠pqr are similar....

 \frac{ab}{pq}  =  \frac{bc}{qr}  =  \frac{ac}{pr}

angle A = angle P.

angle B = angle Q.

and

angle C = angle R.

. .

. AP and PS are the median .

BD = DC = 1/2*BC..

QS = SR = 1/2*QR..

now.. from abc& pqs...

by SAS. rule ABD = PQS

. .

.

 \frac{area \: of \: triangle \: abc}{area \: of \: triangle \: pqr}  = \\    \frac{ \frac{1}{2} \times bc \times ad }{ \frac{1}{2} \times qr \times ps }  =  \\  \frac{bc}{qr}  \times  \frac{ad}{ps}

 \frac{ad}{ps}   \times  \frac{ad}{ps}  =  \frac{ {ad}^{2} }{  {ps}^{2} }

hence verify..............

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