Question

the height of an equilateral ∆ is 2 √3 cm.Find the area of ∆ using Heron's formula

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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

Step-by-step explanation:

Hope this answer will help you✌

Answer 2

Answer:

In general, the height of an equilateral triangle is equal to √3 / 2 times a side of the equilateral triangle. The area of an equilateral triangle is equal to 1/2 * √3s/ 2 * s = √3s2/4.