Question

If the height of equilateral triangle is 20√3 cm find its area​

Answer 1

Answer:

A = 40√3cm^2

Explanation:

h = 20√3cm

let the side be x,

AB^2 + BC^2 = AC^2

h^2 + (x/2)^2 = x^2

(20√3)^2 + x^2/4 = x^2

400*3 + x^2/4 = x^2

1200 + x^2/4 = x^2

4800/4 + x^2/4 = x^2

4800 + x^2 = 4x^2

4x^2 - x^2 = 4800

3x^2 = 4800

x^2 = 4800/3

x^2 = 16

x = 4cm

A = 1/2*b*h

A = 1/2*4*20√3

A = 2*20√3

A = 40√3cm^2

Answer 2

Explanation:

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