The area of the triangle is 33.6 square inches. if the h eyesight of the triangle is 4 inches what is the length of the base

Using the formula for the area of a triangle we can solve for the base.

The formula for area of a triangle is : Area = 1/2 x base x height

We are given the area and the height:

33.6 = 1/2 x 4 x base

Multiply both sides by 2 to remove the 1/2:

67.2 = 4 x base

Divide both sides by 4 to solve for the base:

67.2 /4 = 16.8
 
Check: Area = 1/2 x 4 x 16.8 = 33.6

The base is 16.8 inches.