WAEC - Mathematics (2021 - No. 18)

The height of an equilateral triangle of side is 10 3√ cm. calculate its perimeter.
20cm
60cm
40cm
30cm

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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