Question

If the area of an equilater triangle is 81√3 cm² find its radius.​

Answer 1

Radius of a triangle really?

Answer 2

Area of an equilateral triangle = 81√3 cm²

Now,

Let the sides be a .

Then,

√3/4 × a² = 81√3

=> a² = (81√3 × 4)/√3

=> a² = 324

=> a = √324

=> a = 18 cm

Then,

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Height = √3/2 × a = (√3/2 × 18) cm = 9√3 cm