Question

A triangle has an area of 76 sq. in. The base is 20 in. what is the height?

Answer 1

7.6 inches

Explanation:

The area of a triangle can be found using:

a=(b*h)/2

We know that the area is 76 in^2 and the base is 20 in. Substitute 76 in for a and 20 in for b.

76=(20*h)/2

Now we have to solve for h, by getting h by itself.

First, get rid of the denominator of 2 by multiplying both sides by 2

76*2=20*h/2*2

76*2=20*h

152=20*h

Next, divide both sides by 20, because 20 and h are being multiplied.

152/20=20*h/20

152/20=h

7.6=h

The height is 7.6 inches

Answer 2

7.6 = h

Explanation:

The area of a triangle is given by

A = 1/2 bh where b is the base and h is the height

76 = 1/2 *20 *h

76 = 10 h

Divide each side by 10

76/10 = 10h/10

7.6 = h