Question

∆LMN ~ ∆PQR, 9 × A (∆PQR) = 16 × A (∆LMN). If QR = 40 then  find MN...plz tell fast​

Answer 1

Given : ∆LMN ~ ∆PQR,

9 × A (∆PQR) = 16 × A (∆LMN)

QR = 40

To Find :  MN

Solution:

9 × A (∆PQR) = 16 × A (∆LMN)

=> 9/16  =  A (∆LMN) / A (∆PQR)

∆LMN ~ ∆PQR,

Ratio of area of similar triangle = ( ratio of corresponding sides)²

=> A (∆LMN) / A (∆PQR)  = (MN/ QR)²

=> 9/16 =  (MN/ QR)²

=> 3/4  = MN/QR

=> 3/4  = MN/  40

=> MN = 30

Length of MN  is 30

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