# The area of a triangle is 24cm² [squared]. The base is 8cm longer than the height. Use this information to set up a quadratic equation. Solve the equation to find the length of the base?

##### 2 Answers

Mar 10, 2018

Let the length of the base is

so,area of the triangle is

or,

or,

or,

or,

so,either

Mar 10, 2018

#### Explanation:

The area of a triangle is

Let the height be

Expanding and simplifying...

We know

Hence

We know the base is