CPM Homework Help : INT1 Problem 10-95

Examine the diagram at right. $ΔFGH$ and $ΔFIJ$ are similar. If $GH = 4x - 3$ and $IJ = 3x + 14$ , write an equation and solve for x. Then calculate the length of $\overline{GH}$ .

Triangle F, I, J, with a line segment G, H inside which looks parallel to side I, J. Side F, G and side G, I are each marked with one tick mark. Side F, H and side H, J, are each marked with two tick marks.

Hint:

Since $G$ is the midpoint of segment $FI$ and $H$ is the midpoint of segment $FJ$ , segment $IJ$ is twice as long as $\overline{GH}$ .