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Find the area of an equilateral triangle with a side length of 10 cm.
Question

Find the area of an equilateral triangle with a side length of 10 cm.

A.

28√3 cm²

B.

18√3 cm²

C.

22√3 cm²

D.

25√3 cm²

Correct option is D

Given:
Side length of the equilateral triangle, a = 10 cm
Formula Used:
Area=34a2\text{Area} = \frac{\sqrt{3}}{4} a^2​​
Solution:
Area=34×102 Area=34×100 Area=253 cm2\text{Area} = \frac{\sqrt{3}}{4}\times10^2\\ \ \\\text{Area}=\frac{\sqrt{3}}{4}\times100\\ \ \\ \text{Area} =25\sqrt{3}\ cm^2 
Thus, correct option is (d).

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