∆LMN ~ ∆PQR, 25A(∆PQR) = 36A(∆LMN). If QR = 20, Find MN
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Answer:
24 units
Step-by-step explanation:
Given : 25x A(∆PQR) = 36 x A(∆LMN)
A (∆PQR) / A (∆LMN) = 36/25
A(∆PQR) / A(∆LMN) = QR²/MN² [Theorem of areas if similar triangles]
QR²/MN² = 36/25
Therefore
QR/MN = 6/5 [Taking square roots from both the sides]
QR = 20 (Given)
QR/MN = 6/5
20/MN = 6/5
5MN = 120
MN = 24
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