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Find the unknown side lengths in similar triangles PQR and ABC.

Triangle P Q R has sides of the following lengths: P Q, a; Q R, 40; P R, b.

Triangle A B C has sides of the following lengths: A B, 21; B C, 35; A C, 28.B P R Q C A 21 28 35 40 a b

a= _____

(Simplify your answers. Type an integer or a fraction.)

ladiikeiii Nov 30, 2017

CPhill · Answer 1 · 2017-11-30T06:03:32

Triangle PQR is similar to triangle ABC

So

PQ / QR = AB / BC

PQ / 40 = 21 / 35 multiply both sides by 40

PQ = (40/35) * 21 = (8/7) * 21 = 24 = "a"

And

PR / PQ = AC / AB

PR / 24 = 28 / 21 multiply both sides by 24

PR = 24 (28/21) = 24 (4/3) = 32 = "b"