if the perimeter of an equilateral triangle is 48 cm, find its area
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Answered by
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Given: Perimeter of an equilateral triangle= 48 cm
To Find: Area of the triangle
Solution: As triangle is equilateral so it's all sides will be equal in length.
Let it's sides be a, b , c
So, a + b + c = 48 cm
Since a=b=c
=> a + a + a = 48
=> 3a = 48
=> a = 16 cm
Semi-perimeter of the triangle = s = 48/2= 24
So area of triangle= ✓s(s-a)(s-b)(s-c)
= ✓24(24-16)(24-16)(24-16)
= ✓ 24(8)(8)(8)
= 110.85 cm^2
Answer: The area of triangle is 110.85 cm^2
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