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Elementary Mathematics
Area and perimeter
The altitude of an equilateral triangle is \( \Large \sqrt{3} \)cm. What is its perimeter?
A) 3 cm
B) \( \Large 3\sqrt{3} \)cm
C) 6 cm
D) \( \Large 6\sqrt{3} \)cm
Correct Answer:
C) 6 cm
Description for Correct answer:
Height of equilateral triangle
\( \Large \left(AD\right)=\frac{\sqrt{3}}{2} \times Side \)
Therefore, \( \Large \sqrt{3}=\frac{\sqrt{3} \times Side}{2} => 2\sqrt{3} = \sqrt{3} \times Side \)
Side = \( \Large \frac{2\sqrt{3}}{\sqrt{3}} = 2 cm \)
Therefore, Perimeter of an equilateral triangle = 3a = \( \Large 3 \times 2 \) = 6 cm
Part of solved Area and perimeter questions and answers :
>> Elementary Mathematics
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