Question

Find the perimeter of AXYZ. Round your answer to the nearest tenth if necessary.

Figures are not necessarily drawn to scale.

Answer 1

The perimeter of triangle XYZ is 110.0 units

The perimeter of XYZ is found by adding a the sides of the triangle.

Using similarity theorem to find x

78/39 = 57/x

78x = 39 × 57

78x = 2223

divide both sides by 78

x = 2223/78

x = 28.5

Now that we have the value of x , we can find the perimeter of the triangle.

Perimeter = 28.5 + 39 + 42.5

= 110.0 units

Therefore, the perimeter of triangle XYZ is 110.0 units