Question

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?

Answer 1

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.