Question

The Rea of the triangle is 6.12 square feet.What is the length of the base?

Answer 1

EXPLANATION

Let's see the facts:

The height of the triangle bisects it, so this is an Isosceles one.

The Area is 6.12 square feet.

By Isosceles Triangle Definition,

`Area=\frac{\text{base}\cdot\text{height}}{2}`

Isolating the base:

Multiplying both sides by 2:

`2\cdot\text{Area}=\text{base}\cdot\text{height}`

Dividing both sides by the height:

`\frac{2\cdot Area}{\text{height}}=\text{Base}`

Switching sides:

`\text{Base}=\frac{2\cdot Area}{\text{height }}`

Replacing terms:

`\text{Base}=\text{ }(2\cdot6.12)/(3.4)=(12.24)/(3.4)=3.6\text{ f}eet`

Answer: the length of the base is 3.6 feet.