CPM Homework Help : GC Problem 3-97

A triangle has two internal triangles created by a line segment, h, drawn from the upper vertex perpendicular to the base. The internal triangle on the left has a base of 6 units. The internal triangle on the right has a base of 4 units. The area of the triangle below is $25$ square units. Find the value of $h$ . Then find the perimeter of the entire triangle. Show all work.

Hint:

Use the formula for the area of a triangle to find the height.

More Help:

$25=(0.5)(6+4)(h)$