Math, asked by deviindra4762, 1 year ago

If the area of an equilateral triangle is 16 root 3 find its perimeter

Answers

Answered by astitvastitva
77
Area of equilateral triangle = (√3a²)/4
16√3 = (√3a²)/4
a² = 64
a = 8cm

Perimeter of equilateral triangle = 3*a = 3*8 = 24cm
Answered by pinquancaro
32

Answer:

The perimeter of the equilateral triangle is 24 cm.

Step-by-step explanation:

Given : If the area of an equilateral triangle is 16\sqrt{3}

To find : Its perimeter ?

Solution :

The area of the equilateral triangle is A=\frac{\sqrt{3}a^2}{4}

Here, A=16\sqrt{3}

Substitute the value,

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

a^2=\frac{16\times 4\sqrt{3}}{\sqrt3}

a^2=64

a=8

The side of triangle is 8 cm.

The perimeter of the equilateral triangle is P=3a

P=3\times 8

P=24\ cm

Therefore, The perimeter of the equilateral triangle is 24 cm.

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