The perimeters of two similar triangles ABC and PQR are respectively 36 cm and 24 cm. If PQ = 10 cm, find AB.

Since the ratio of the corresponding sides of similar triangles is same as the ratio of their perimeters.
∴

increment ABC space tilde space increment PQR

rightwards double arrow space space space space space space space space space space space space AB over PQ equals BC over QR equals AC over PR equals 36 over 24 rightwards double arrow space space space space space space space space space space space space space AB over PQ equals 36 over 24 rightwards double arrow space space space space space space space space space space space space space space AB over 10 equals 36 over 24 rightwards double arrow space space space space space space space space space space space space space space space AB space equals space fraction numerator 36 cross times 10 over denominator 24 end fraction cm space equals space 15 space cm.

rightwards double arrow

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Triangles

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