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:

$\text{Base}=\text{ }\frac{2\cdot6.12}{3.4}=\frac{12.24}{3.4}=3.6\text{ f}eet$

Answer: the length of the base is 3.6 feet.