Question

15. The height of an equilateral triangle is 6 cm. Its area is
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Answer 1

Answer:

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

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