Question
The height of an equilateral triangle is 10 cm. Its area is :
Answer: Option D
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Let each side be a cm.
Then ,`(a/2)^2 + (10)^2 = a^2`
`hArr (a^2 - a^2/4) = 100`
`hArr (3a^2)/(4) = 100`
`hArr a^2 = 400/3`
`:.` Area = `sqrt(3)/4 xx a^2 ` = `( sqrt(3)/4 xx 400/3) cm^2`
= `100/sqrt(3) cm^2`
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