### Home > CC4 > Chapter 10 > Lesson 10.2.2 > Problem 10-95

10-95.

*FGH* and Δ*FIJ* are similar. If *GH* = 4*x* – 3 and *IJ* = 3*x* + 14, write an equation and solve for *x*. Then calculate the length of *GH*. Homework Help ✎

Since *G* is the midpoint of segment *FI* and *H* is the midpoint of segment *FJ*, segment *IJ* is twice as long as *GH*.