Question

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

Answer 1

Step-by-step 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:-

$60 = \frac{ \sqrt{3} }{4} a {}^{2}$

REQUIRED ANSWER:-

$60 \times 4 = \sqrt{3a {}^{2} }$

$a {}^{2} = 240 \sqrt{3}$

$a = 120 \sqrt{3} cm$

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