Question

Determine the approximate value of the perimeter of the triangle

Answer 1

The perimeter of the triangle is:

`36\text{ units}`

Step-by-step explanation:

The perimeter of the triangle is the sum of the values of the three sides.

For the given triangle, we have;

`P=x+12+9`

Recall that we can get the value of x using the Pythagoras theorem;

`\begin{gathered} x=\sqrt[]{12^2+9^2} \\ x=\sqrt[]{144+81} \\ x=\sqrt[]{225} \\ x=15 \end{gathered}`

So, the perimeter P becomes;

`\begin{gathered} P=15+12+9 \\ P=36\text{ units} \end{gathered}`

Therefore, the perimeter of the triangle is:

`36\text{ units}`