If an equilateral triangle has a height of 6cm then what's its area and perimeter
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By using Trigonometry, you can find the side lenght of equilateral triangle.
Sin60° = 6/S
√3/2 = 6/S
S = 12/√3
S = 4√3
Now, the perimeter = 3s
= 3(4√3)
= 12√3
And area = √3s²/4
= √3(4√3)²/4
= 48√3/4
= 12√3 cm²
Sin60° = 6/S
√3/2 = 6/S
S = 12/√3
S = 4√3
Now, the perimeter = 3s
= 3(4√3)
= 12√3
And area = √3s²/4
= √3(4√3)²/4
= 48√3/4
= 12√3 cm²
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