. Δ LMN ~ Δ PQR, 9 x A (Δ PQR ) = 16 x A (Δ LMN). If MN = 15 then find QR.
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Answer:
Given:
∆LMN ~ ∆PQR
9 × A (∆PQR ) = 16 × A (∆LMN)
Consider, 9 × A (∆PQR ) = 16 × A (∆LMN)
A(∆LMN)A(∆PQR)=916
⇒MN2QR2=3242
⇒MNQR=34
⇒MN=34×QR
⇒MN=34×20[∵QR=20]
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