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Find the area of an equilateral triangle having each side of length 10 cm. [Take sqrt(3) = 1.732.]

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Question

Find the area of an equilateral triangle having each side of length 10 cm. [Take `sqrt(3) = 1.732`.]

Sum
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Solution

Given:

Side a = 10 cm.

Use formula for area of an equilateral triangle: Area = `(sqrt(3)/4) a^2`.

Step-wise calculation:

1. Substitute values: Area = `(1.732/4) xx (10)^2`.

2. Compute (10)2 = 100 and `100/4 = 25`.

3. So Area = 1.732 × 25 = 43.30.

Area = 43.30 cm2 (≈ 43.3 cm2).

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Chapter 15: Perimeter And Area of Plane Figures - TEST YOURSELF [Page 701]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 15 Perimeter And Area of Plane Figures
TEST YOURSELF | Q 5. | Page 701
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