If the height of an equilateral triangle is 9 what is its area
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Given height of an equilateral
triangle (h) = 9
Let side of the equilateral triangle= a
We know that ,
(√3/2)a = h
=> a = (2/√3)×9
=> a = 18/√3
ii ) area of equilateral triangle (A) = (√3/4) a²
= (√3/4)(18/√3)²
= (√3×18×18)/(4×3)
= 27√3 square units
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