The two triangles below are similar (but not drawn to scale). Find the value of x. Round answer to the nearest tenth.
32.7 inches 21.7 inches, 10.2 inches x inches
To find the value of x, we can set up a proportion using the corresponding sides of the similar triangles:
32.7 / 21.7 = 10.2 / x
To solve for x, we can cross multiply:
32.7 * x = 21.7 * 10.2
Multiply the numbers:
32.7x = 221.34
Divide by 32.7:
x = 221.34 / 32.7
x ≈ 6.77
Therefore, the value of x is approximately 6.77 inches.