CPM Homework Help : CCG Problem 9-59

A triangle where the base is 30, x, minus 4. An internal line parallel to the base and bisecting the other two side has a length, 12, x, Plus 7. Write and solve an equation based on the geometric relationship shown at right.

Hint:

Although you do not have dimensions, you can write an equation by examining the relationship between the side lengths.

Answer:

$2\left(12x+7\right)=30x-4$ , so $x = 3$ .