The perimeters of two similar triangles ABC and PQR are respectively 36 cm and 24 cm. If PQ = 10 cm, then find AB.
Since the ratio of the corresponding sides of similar triangles is same as the ratio of their perimeters.
∴ △ABC ~ △PQR
⇒ ABPQ=BCQR=ACPR=3624
⇒ ABPQ=3624
⇒ AB10=3624
⇒ AB = 36×1024 cm = 15 cm