Answer: (3) 27 cm
If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.
Ratio of areas = 144:81
Ratio of sides = 12:1
Let the longest side be X
Then
36 : X = 12:9
X = (36 × 9)/12
X = 27 cm
Tags:
Maths