Question

In the figure below, determine the perimeter of triangle EFG

Answer 1

82 units

Explanation:

From the image, we can see that the 2 triangles are similar triangles.

Thus:

BC = EF

BD = EG

CD = FG

Now, BD = 4x - 9 and EG = 2x + 15

Thus;

4x - 9 = 2x + 15

4x - 2x = 15 + 9

2x = 24

x = 24/2

x = 12

Thus, in triangle EFG where EG = 2x + 15, then EG = 2(12) + 15 = 39

Also, EF = BC = 17

FG = 26

Thus, perimeter of triangle EFG is;

P = 26 + 17 + 39

P = 82 units