Question

The areas of two similar triangles are 144 cm² and 81 cm. If one side of the first triangle is 6 cm, what is the length of the corresponding side of the second?​

Answer 1

4.5

Explanation:

• use ratio method to form the equation (X/6)^2=81/144
• solve

Answer 2

4.5 centimeters

Explanation:

For the triangle with area 144 square cm:

144 = (1/2)(6)x

144 = 3x, so x = 48 cm

So for the triangle with area 81 square cm:

(1/2)(x)(8x) = 81

4x^2 = 81

x^2 = 81/4 so x = 9/2 = 4.5 cm and

8x = 36 cm