The two triangles below are similar (but not drawn to scale). Find the value of x . Round answer to the nearest tenth.

triangle A points: left side 37 inches, the base is 26.2 inches
triangle b points: left side X inches the base is 16.2 inches

1 answer

To find the value of x, we can set up a proportion between the corresponding sides of the two triangles:

37/26.2 = x/16.2

Now we can cross-multiply and solve for x:

37 * 16.2 = 26.2 * x

599.4 = 26.2x

x = 599.4 / 26.2

x ≈ 22.9

Therefore, the value of x is approximately 22.9 inches.