Question

the height of the equilateral triangle is 6 cm. find its area​

Answer 1

Answer: Area = 20.784 cm²

Explanation:
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
We know that, √3 = 1.732
So, Area = 12×1.732

So, Area = 20.784 cm²




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Answer 2

Answer: Hope it will be helpful

Step-by-step explanation: If the height of an equilateral triangle is 6 cm, its base = 2*6*cot 60 = 6.92820323 cm and so the area of the equilateral triangle = 6*6.92820323 /2 = 20.78460969 sq cm or 12√3 sq cm. The ratio of base to height of a equilateral triangle is 3:4.