Question

Vertices p and q of square lie respectively on sides AB and AC of ∆ABC.Other vertices of side R and S of ∆ABC .If BC=8cm,ar(∆ABC)=36cm^2.show that side of square is 72/17 cm

Answer 1

side of square is 72/17 cm

Step-by-step explanation:

Let draw AE ⊥ BC

Area of Δ ABC = (1/2) BC  * AE

=>  (1/2) 8 * AE = 36

=> AE  = 9 cm

let say side of Square = x

AD/PQ = AE/EC

=> (9 - x)/x  = 9/8

=> 72 - 8x = 9x

=> 17x = 72

=> x = 72/17

QED

Proved

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