Question

1. If the area of an equilateral triangle is
64root3 square
, then the side of the triangle is ...
​

Answer 1

Answer:

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Step-by-step explanation:

Let the side of the equilateral triangle be a cm

area of the triangle 

43a2=643⇒a2=34×64×3⇒a2=256⇒a=16

perimeter of the triangle=3a=3×16=48 cm

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Answer 2

Answer:

Given area of an equilateral triangle =64√3 c.m²

We know that area of equilateral triangle is √3/4×a² ,a being the side of equilateral triangle.

Thus we have √3/4×a²=64√3c.m²

Cancelling√3 both sides,

a²/4=64

a²=64×4

hence a=√64×4=8×2=16

So ,the side of equilateral triangle is 16c.m