Question

∆LMN ~∆PQR and 9×A (∆PQR) =16×A (∆LMN) Then find LM:PQ

Answer 1

Given :- ∆LMN ~ ∆PQR and 9 x A (APQR) = 16 XA

(ALMN).

To Find :-

• LM: PQ = ?

Answer :-

we know that,

• Ratio of areas of two similar ∆'s = Ratio of square of their corresponding sides .

so,

→ 9 * A (∆PQR) = 16 * A (∆LMN).

→ A(∆LMN) / A(∆PQR) = 9/16

→ LM² / PQ² = 9 / 16

→ (LM/PQ)² = (3²/4²)

→ (LM/PQ)² = (3/4)²

→ (LM/PQ) = 3/4

→ LM : PQ = 3 : 4 (Ans.)

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