Question

(2) Areas of two similar triangles are 144 cm
and 81 cm. If one side of the first triangle is
6 cm then find the corresponding side of the
second triangle.​

Answer 1

Answer:

As, ratio of area of 2 similar triangles = ratio of square of sides.

Hence, 144/81 = (6/correspondingside of second triangle)²

√144/√81 = 6/corresponding side of second triangle

12/9 = 6/corresponding side of second triangle

corresponding side of second triangle = 9*6/12

Hence, Corresponding side of second triangle = 9/2 cm.