CPM Homework Help : INT2 Problem 5-105

A triangle in centimeters with left side, 9, and right side, 6. Two internal triangles are created by a line segment of 3 cm drawn from the upper vertex perpendicular to the base at right angles. Refer to the triangle at right.

Calculate the length of the unlabeled side of the large triangle. Write your answer in exact form.
Calculate the area of the large triangle. Write your answer both exactly and approximately.
Calculate the perimeter of the large triangle. Again, write it exactly and approximately.

Hint:

Use Pythagorean Theorem to find the missing leg of each of the smaller triangles.