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Question
Calculate the area and the height of a equilateral triangle whose perimeter is 60 cm
Calculate the area and the height of a equilateral triangle whose perimeter is 60 cm
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Solution
Perimeter of eqilateral triangle = 60cm. So, length of one side,
x= 60/3 = 20 cm Area of equilateral triangle = √3/4 × x² =√3/4 × 20² =√3/4 × 400
=100√3 cm² Height = √3/2 × x = √3/2 × 20 = 10√3
Perimeter of eqilateral triangle = 60cm.
So, length of one side,
x= 60/3 = 20 cm
x= 60/3 = 20 cm
Area of equilateral triangle = √3/4 × x²
=√3/4 × 20²
=√3/4 × 400
=100√3 cm²
=100√3 cm²
Height = √3/2 × x
= √3/2 × 20
= 10√3
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