Question

An equilateral triangle has an altitude of 15 m. what is the perimeter of the triangle

Answer 1

there should be area too given
.
dear

Answer 2

Answer:

The perimeter of equilateral triangle is  $P=\frac{30}{\sqrt{3}}$

Step-by-step explanation:

Given : An equilateral triangle has an altitude of 15 m.

To find : What is the perimeter of the triangle.

Solution :

We know,

In equilateral triangle every sides and angles are equal .

So, The measure of angles is 60 degrees.

Given that has an altitude of 15 m.

i.e,

$sin 60 = \frac{\text{Altitude}}{\text{Hypotenuse}}$

$\frac{\sqrt{3}}{2}=\frac{15}{H}$

$H=\frac{15\times2}{\sqrt{3}}$

$H=\frac{30}{\sqrt{3}}$

$H=10\sqrt{3}$

Length of the side is  $10\sqrt{3}$

Perimeter of equilateral triangle is $P=3\times side$

$P=3\times 10\sqrt{3}$

$P=\frac{30}{\sqrt{3}}$

Therefore, The perimeter of equilateral triangle is  $P=\frac{30}{\sqrt{3}}$