Question

a triangle pqr similar to Triangle a triangle pqr is similar to triangle cml and nine area of triangle pqr is equal to 16 triangle pqr then find qr upon mn​

Answer 1

Answer:

9 × A(∆PQR) = 16 × A(∆LMN) [Given] ∴ (ΔLMN)/A(PQR) = 9/16 (i) Now, ∆LMN ~ ∆PQR [Given] ∴ (ΔLMN)/A(PQR) = MN2/QR2 (ii) [Theorem of areas of similar triangles] ∴ MN2/QR2 = 9/16 [From (i) and (ii)] ∴MN = QR = 3/4 [Taking square root of both sides] ∴ MN/20 = 3/4 ∴ MN = (20 x 3)/4 ∴ MN = 15 unitsRead more on Sarthaks.com - https://www.sarthaks.com/849985/lmn-pqr-9-a-pqr-16-a-lmn-if-qr-20-then-find-mn