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प्रश्न
Find the area of an equilateral triangle having perimeter of 18cm.
उत्तर
We know that, Perimeter of an equilateral triangle(P) of side a = 3a
Here, P = 18cm
⇒ side of the equilateral triangle is = 6cm
Area of an equilateral triangle (A) of side is A = `sqrt(3)/(4)"a"^2`
⇒ A = `sqrt(3)/(4)(6)^2`
⇒ `sqrt(3)/(4)(36)`
⇒ `9sqrt(3)`
Area of an equilateral triangle(A) of side 6cm is `9sqrt(3)"cm"^2`.
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