Question

What is the length of segment GH?

Answer 1

These triangles are similar by the AA Postulate.
By definition of simiar triangles, the corresponding sides are in proportion.

AC is to AH as BC is to GH

2/6 = 3/ (2x-1)

Cross Multiply and solve for x.

Then, back substitute into 2x-1 to get the length of GH.

Please post your work here and I'll help you complete the problem if you want.

@rebbylack

Answer 2

thank you!

2/6 = 3/2x-1

cross multiply

4x-2=18
4x=20
x=5

back into orig equation

2(x)-1
2(5)-1
10-1 = 9 ?

Answer 3

x=5 Correct

GH = 9 Yes