triangle LMN is similar to triangle PQR,9* area of triangle pqr = 16 * area of triangle lmn.if qr = 20 then find mn
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Answered by
35
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
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
Answered by
20
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
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