Question

triangle LMN is similar to triangle PQR,9* area of triangle pqr = 16 * area of triangle lmn.if qr = 20 then find mn

Answer 1

9* area of triangle PQR = 16 * area of triangle LMN

Area of triangle PQR / area of triangle LMN = 16/9

⇒ Area scale factor = 16/9

Linear scale factor = √ (16/9) = 4/3


Side QR corresponds to side MN

 QR = 4/3MN

MN = 3/4QR

       = 3/4 x 20

       = 15

Answer 2

Answer:

Step-by-step explanation:

9* area of triangle PQR = 16 * area of triangle LMN

Area of triangle PQR / area of triangle LMN = 16/9

⇒ Area scale factor = 16/9

Linear scale factor = √ (16/9) = 4/3

Side QR corresponds to side MN

QR = 4/3MN

MN = 3/4QR

= 3/4 x 20

= 15