Question

The two images below are similar Find the value of x in the image. Round your answer to the nearest tenth.

the orignial sides are: 31in and 20.7in. the new side on the bottom is 14.6

Answer 1

To find the value of x, we can use the concept of similar triangles.

In similar triangles, corresponding sides are proportional.

Let's set up a proportion using the given information:

31 inches / 14.6 inches = 20.7 inches / x

Cross-multiplying gives us:

31 inches * x = 14.6 inches * 20.7 inches

x = (14.6 inches * 20.7 inches) / 31 inches

x ≈ 9.7187 inches

Rounding to the nearest tenth, x ≈ 9.7 inches.