If GH=80 HF=60 GF=75 KI=30, and JI =37.5, find the perimeter of triangle,△IJK. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.

Question

If GH=80 HF=60 GF=75 KI=30, and JI =37.5, find the perimeter of triangle,△IJK. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.

Answer 1

First, we need to find the length of JH. Since GH + HF = GF, we can determine that JH = 80 - 60 = 20.

Now, we can calculate the perimeter of triangle △IJK by adding the lengths of its sides:
Perimeter = IJ + JK + KI
Perimeter = 37.5 + 20 + 30
Perimeter = 87.5

Therefore, the perimeter of triangle △IJK is 87.5.