Question

4. An equilateral triangle has a perimeter of 60 cm. Find the exact
altitude of the triangle.

Answer 1

Explanation:

GIVEN:-

The Perimeter of Equilateral triangle = 60cm

UNDERSTANDING THE CONCEPT:-

According to the question,

To find the height of the triangle,

Perimeter of Equilateral triangle = Area of Equilateral triangle.

FORMULA USED:-

`60 = ( √(3) )/(4) a {}^(2) \\`

REQUIRED ANSWER:-

`60 * 4 = \sqrt{3a {}^(2) }`

`a {}^(2) = 240 √(3) \\`

`a = 120 √(3) cm`

SO, The Exact height of the triangle is 120√3cm.