The area of the equilateral triangle is 20 √3 cm² then the length of each side is? (a) 8 cm (b) 16 cm (c) 16√3 cm (d) 4√5 cm
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The area of the equilateral triangle is 20 √3 cm² then the length of each side is? (a) 8 cm (b) 16 cm (c) 16√3 cm (d) 4√5 cm
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Verified answer
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✤ Required Answer:
✒ GiveN:
✒ To FinD:
Length of each side of the triangle....?━━━━━━━━━━━━━━━━━━━━
✤ How to solve?
For solving the above question, I.e. to find the length of each side of the equilateral triangle, we need to know the know the special area formula of equilateral triangle.
In this question, we are provided with the area of the equilateral triangle, so we can find the length of it side..
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✤ Solution:
We have,
So, By using formula,
➙ Area of eq. triangle = √3/4 × (side)²
➙ 20√3 = √3/4 × (side)²
➙ (side)² = 20√3 × 4/ √3
➙ (side)² = 80 cm²
➙ side = √80 cm
➙ side = 4√5 cm
✒ Therefore, Side of eq. triangle = 4√5 cm.
✒ Hence, solved!!━━━━━━━━━━━━━━━━━━━━