Question

Justin builds a triangular fenced area for his dog called Triangle ABC. If AB = 17 ft and BC = 8ft, and angle C is a right angle, which of the following are true? Select all that apply.
ロThe missing side measures 12.5 ft.
ロ The missing side of the fence measures 15 ft.
ロ The perimeter of the fence is 40 ft.
ロ The perimeter is 37.5 ft.
ロ The area inside the fenced in section is 60 sq ft
ロ The area inside the fenced section is 68 sq ft.

Answer 1

The missing side of the fence measures 15 ft

The perimeter of the fence is 40 ft

The area inside the fenced in section is 60 ft²

The fence is triangular and a right triangle.

Right triangle:

A right triangle has one of its angle as 90 degrees. Therefore, the sides can be found using Pythagoras theorem.

c² = a² + b²

17² - 8² = b²

b = 15 ft

AC = 15 ft

perimeter of the triangle = 15 + 8 + 17 = 40 ft

Area of the triangle = 1 / 2 × 15 × 8 = 60 ft²

Therefore,

The missing side of the fence measures 15 ft

The perimeter of the fence is 40 ft

The area inside the fenced in section is 60 ft²

learn more on right angle triangle here; brainly.com/question/2192748