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Brilliant_brown [7]
1 year ago
9

The height of an equilateral triangle is 4 startroot 3 endroot. what is the perimeter of the equilateral triangle?

Mathematics
1 answer:
scoundrel [369]1 year ago
7 0

Answer:

perimeter = 24

Step-by-step explanation:

<u>formula</u>:

In an equilateral triangle with sides of lengths ‘a’

The height of the triangle is equal to :

= \frac{\sqrt{3} }{2} a

……………………………………………

<u>Calculating</u> ‘a’ :

We have to solve the equation:

4\sqrt{3} =\frac{\sqrt{3} }{2} a

\Longleftrightarrow 4=\frac{1 }{2} a

\Longleftrightarrow a = 8

<u>Calculating the perimeter</u>:

= 3a

= 3 × 8

= 24

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