Question

Triangles A and B are similar. The side lengths of Triangle A in inches are 4.5, 7.0, and 5.25. The corresponding lengths in inches for Triangle B are 13.5, 21.0, and x. Solve for x.

Answer 1

The value of x is 15.75

Step-by-step explanation:

Given that triangles A and B are similar.

Side lengths of triangle A are: 4.5, 7.0, and 5.25

Side lengths of triangle B are: 13.5, 21.0, and x

Since the triangles are similar, the following ratios are correct:

13.5/4.5 = 21/7 = x/5.25

3 = x/5.25

Multiply both sides of the equation by 5.25

x = 15.75