Question:
Let triangle ABC - triangle PQR, area of ABC = 81 cm2, area of PQR = 144 cm2 and QR = 6 cm, then length of BC is
Answer:
Given that Δ ABC ∼ Δ PQR
=> Area (Δ ABC)/ Area (Δ PQR) = BC2 /QR2 (From theorem)
=> 81/144 = BC2 /QR2
=> BC/QR = √(81/144)
=> BC/QR = 9/12
=> BC/6 = 9/12
=> BC = (9*6)/12
=> BC = 9/2 (6 and 12 is divided by 6)
=> BC = 4.5 cm
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