Question

if ∆PQR~∆PMN and 9×A(∆PQR)=16×A(∆PMN) then find QR/MN​

Answer 1

Step-by-step explanation:

Triangle PQR ~ triangle PMN..... given

9*A(PQR)=16*A(PMN).... *= multiply

therefore, A(PQR)/A(PMN)=16/9, also QR=20...[0]

According to theorem of similar angles,

A(PQR)/A(PMN)=QR²/MN²

From[0].

we get,

16/9=20²/MN²

By taking square root both the side,

root16/root9=20/MN

4/3=20/MN

By doing cross multiplication we get,

4(MN)=20(3)

MN=20(3)/4

Therefore, MN = 15

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