Question

the area of an equilateral triangle is 16√3cm². Find the length of each side.​

Answer 1

Area of an equilateral triangle = 16✓3 cm²

✓3/4 × (Side)² = 16✓3

(Side)² = 16✓3×4/✓3

Side² = 64

Side = ✓64 = 8

Therefore,

Perimeter of an equilateral triangle = 3 × (Side) = 3 × 8 = 24 cm

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Answer 2

Answer:

Step-by-step explanation:

Given

Area of Traingle = (16×root3) cm^2

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

⇒ 16√3 = √3/4 (side)^2

⇒ (side)^2 = 64

⇒ side = √64 = 8 cm