Question

In the figure, ΔABC ~ ΔGFE, ∡ABD ≅ ∡DBC, and ∡GFH ≅ ∡HFE. Solve for x

Answer 1

X = 24/83
X= 7 and 1/3
X= 2 and 1/3
X= 11

Answer 2

Wait a few minute, trying to see if my explaination make sense.

Answer 3

Triangle BAC has an altitude of 24. Triangle EFG has an altitude of 36.
One of the side of Triangle BAC is (x + 5). One of the side of Triangle EFG is (3x+4)
According to the description, triangle BAC and EFG are similar. So you can write a proportion to solve this.
Make sense so far?