If the altitude of an equilateral triangle is 4√3 cm, then find the

1.	If the altitude of an equilateral triangle is 4√3 cm, then find the area of an equilateral triangle.1. 16√32. 8√33. 64√34. 24√3
Answer» Correct Answer - Option 1 : 16√3 Given The altitude of an equilateral triangle = 4√3 Concept Altitude of an equilateral triangle = (√3/2) × side Area of an equilateral triangle = (√3/4) × (side)² Calculation According to the question 4√3 = (√3/2) × side ⇒ Side = [(4√3) × 2]/√3 ⇒ Side = 8 cm Now, ⇒ Area of an equilateral triangle = (√3/4) × 8² ⇒ Area of an equilateral triangle = 16√3 cm² ∴ Area of an equilateral triangle = 16√3 cm2

If the altitude of an equilateral triangle is 4√3 cm, then find the area of an equilateral triangle.1. 16√32. 8√33. 64√34. 24√3

Answer» Correct Answer - Option 1 : 16√3

Given

The altitude of an equilateral triangle = 4√3

Concept

Altitude of an equilateral triangle = (√3/2) × side

Area of an equilateral triangle = (√3/4) × (side)²

Calculation

According to the question

4√3 = (√3/2) × side

⇒ Side = [(4√3) × 2]/√3

⇒ Side = 8 cm

Now,

⇒ Area of an equilateral triangle = (√3/4) × 8²

⇒ Area of an equilateral triangle = 16√3 cm²

∴ Area of an equilateral triangle = 16√3 cm2

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If the altitude of an equilateral triangle is 4√3 cm, then find the area of an equilateral triangle.1. 16√32. 8√33. 64√34. 24√3

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