Question

height of an equilateral triangle is 16 root 3 find area

Answer 1

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Given:

Height of an equilateral triangle is

16√3 m

To find:

Area of equilateral triangle = ?

Solution:

Area of equilateral triangle = √3/4 a²

Area = √3/4 × (16√3) ²

Area = √3/4 × 16√3 × 16√3

Area = √3/4 × 256 × 3 --(√3 × √3 = 3)

Area = √3/4 × 768

Area = 332.5 m²

Required answer:

Thus, Area of equilateral triangle is 332.5 m²

Knowledge booster:

• Equilateral triangle have all three sides equal
• All internal angles are congruent to each other and measure of each angle is 60°
• Solve more such questions to get good hold on it

Answer 2

Answer:

256√3 unit²

Step-by-step explanation:

Height of equilateral triangle = √3a/2

So, 16√3 = √3a/2

=> a = 32

Area = √3a²/4

= 256√3 unit²

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