Chapter 9, Problem 9RP

To determine

To find:The perimeter of the triangle.

Answer to Problem 9RP

The perimeter of the triangle is $16$

Explanation of Solution

Given information:The altitude of the equilateral triangle is given to be $8\sqrt{3}$

Calculation:We consider the half triangle formed by the altitude and a half side and a full side of the triangle. Thus, applying basic trigonometric formulas, we get

  $\sin {60}^0=\frac{8\sqrt{3}}{x}$

Where, x is the length of the side of the triangle.

Thus, we get

  $x=16$