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2 years ago

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

Mathematics

1 answer:

taurus [48]2 years ago

5 0

Step-by-step explanation:

<h2>GIVEN:-</h2>

The Perimeter of Equilateral triangle = 60cm

<h2>UNDERSTANDING THE CONCEPT:-</h2>

According to the question,

To find the height of the triangle,

Perimeter of Equilateral triangle = Area of Equilateral triangle.

<h2>FORMULA USED:-</h2>

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

<h2>REQUIRED ANSWER:-</h2>

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

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

$a = 120 \sqrt{3} cm$

<h3>SO, The Exact height of the triangle is 120√3cm.</h3>

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