The height of an equilateral triangle is 6 cm

Asked by admin @ 13/08/2021 in Math viewed by 420 People

The height of an equilateral triangle is 6 cm. find the area of the triangle. (take root 3- 1.732)

Answered by admin @ 13/08/2021

Altitude = Height = 6 cm
Let length of side be 'a'

So , √3/2 a = 6
So a = 12/√3
So a = 4√3 cm

This 'a' is the length of the side

Now, area = (√3/4) × a²
So, Area = (√3/4) × (4√3)²
So, Area = (√3/4) × (16×3)
So, Area = ✓3 × 4 × 3
So, Area = 12√3
So, Area = 12×1.732

So, Area = 20.784 cm²

Hope I have helped you

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