Find the length of the corresponding altitude in inches.

Question

In a triangle whose area is 64 in², the base has a length of 8 in. Find the length of the corresponding altitude in inches.

Answer 1

The area of the triangle is expressed by the formula a = 1/2 × b × h

In the given triangle, the area (a) = 64 square inches and the base (b) = 8 inches. If we plug these values into the formula and solve for h the result is as follows:

a = 1/2 × b × h

64 = 1/2 × 8 × h

8 = 1/2 × h

16 = h

The length of the altitude is 16 inches.