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Question
Calculate the area and the height of an equilateral triangle whose perimeter is 60 cm.
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Solution
Each side of the triangle is `60/3` = 20 cm
Hence, the area of the equilateral triangle is given by
`A = sqrt(3)/4 xx 20^2`
= `sqrt(3)/4 xx 400`
= `100sqrt(3)`
= 173.2 cm2
The height h of the triangle is given by
`1/2 xx 20 xx h = 173.2`
h = 17.32 cm
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