Question

the area of an equilateral triangle is equal to the area of a square wth diagonal20 cm the side of the circle is..

Answer 1

Answer:

≈ 21.49 cm

Step-by-step explanation:

Area of Equilateral Triangle = [√3×(side)²]÷4

Area of a Square                    = (side)²

IN SQUARE,

⇒ (diagonal)² = 2×(side)²

⇒ (diagonal)² = 2×(area of square)

⇒ 20×20         = 2×area

⇒ ∴ Area        = 200 cm²

According to the question,

Area of Equilateral Triangle = Area of Square

⇒ [√3×(side)²]÷4  =  200

⇒ √3×(side)²         = 800

⇒ (side)²                = 800÷√3

⇒ ∴ Side                = √(800÷√3)

                               ≈ 21.49 cm       ←ANSWER

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