A scalene triangle has an area of 20.335 square centimeters. The height of the triangle is 8.3 centimeters. What is the length of its base?

1 Answer
Mar 30, 2018

The base is 4.3 centimeters long.

Explanation:

We know that the formula for the area of a triangle is

A = (b*h)/2

Where the base is b and the height is h. We know what the height and the area are so we are going to reshape the formula to solve for b.

A = (b*h)/2 | * 2

2A = b*h | :h

(2A)/h = b

And now we plug in the numbers:

(2 * 20.335)/8.3 = b

4.9 = b

So b is 4.9 centimeters long.