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.

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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## Answers ( )

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.

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

Hope it helps…

Please mark my answer as the brainliest answer…