Question

Two triangles are similar. The ratio of the perimeter is 1:3. The area of the smaller triangle is 14 cm^2 . What is the area of the larger triangle?

Answer 1

Explanation:

each side of the larger triangle is 3 times the length of the corresponding side of the smaller triangle.

area of smaller triangle = 0.5×b×h = 14 cm²

area of larger triangle = 0.5×(3b)×(3h) = 9×14 = 126 cm²