Question

What us the area of the triangle if the perimeter is 16

Answer 1

We are asked to find the area of the given triangle.

Recall that the area of a triangle is given by

`A=(1)/(2)\cdot b\cdot h`

Where b is the base and h is the height of the triangle.

Let us find the base and height from the given figure.

As you can see,

base = 6

height = 4

`\begin{gathered} A=(1)/(2)\cdot b\cdot h \\ A=(1)/(2)\cdot6\cdot4 \\ A=(1)/(2)\cdot24 \\ A=12 \end{gathered}`

Therefore, the area of the triangle is 12 square units.