triangle ABC has sides of length 5,6 and 7 units PQR has perimeter 360 units If ABC is similar to PQR then find the side of PQR
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In ∆ABC ,
let the lengths be x then,
AB = 5x
BC = 6x
CA = 7x
IN ∆ pqr ,
AB = PQ {
BC = QR. Given
CA = RP }
perimeter of ∆PQR = 360
let its side be x then ,
perimeter of ∆ PQR = PQ + QR + RP
360 = x + x +x
360 = 3x
360/3 = x
120 = x. ------(1)
∆ ABC = ∆ PQR (Given)
AB = PQ = 5x
= 5 × X
= 5 × 120 = 600 unit
similarly.. BC = QR = 6 × 120 = 720 unit
CA = RP = 7 × 120 = 840 unit
Thank you
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