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The side of an equilateral triangle is 12 cm. What is the area (in cm², rounded off to 2 decimal places) of the triangle? Given: √3=1.732
Question

The side of an equilateral triangle is 12 cm. What is the area (in cm², rounded off to 2 decimal places) of the triangle? Given: √3=1.732

A.

68.07

B.

63.89

C.

62.35

D.

65.23

Correct option is C

Given:

Side of the equilateral triangle = 12 cm

Value of √3 = 1.732

Formula Used:

The area of an equilateral triangle can be calculated using the formula:
Area =(34)×(side)2 \left(\frac{\sqrt{3}}{4}\right) \times \text{(side)}^2​​

Solution:

Area =(1.7324)×(12)2\left(\frac{1.732}{4}\right) \times (12)^2​​
Area = 0.433 × 144
Area = 62.352 cm²
Therefore, the area of the triangle is approximately 62.35 cm².

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