The height of an equilateral triangle of side is 10√3cm. calculate its perimeter.
MATHEMATICS
WAEC 2021
The height of an equilateral triangle of side is 10√3cm. calculate its perimeter.
- A. 20cm
- B. 60cm
- C. 40cm
- D. 30cm
Correct Answer: B. 60cm
Explanation
Height of an equilateral triangle, h = a\(\frac{√3}{2}\), where a is the side of the equilateral triangle.
10√3 = a\(\frac{√3}{2}\)
cross multiply--> 2 * 10√3 = a√3
√3 strikes √3 on both sides
20 = a
The perimeter of an equilateral triangle is:P = 3a
P = 3 * 20 = 60cm
P = 30√3
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