An isosceles triangle has perimeter 30 m and each of the equal sides is 12 cm. Find area of the triangle.

Solution

Let the third side be x cm. Then,
12 + 12 + x = 30
$rightwards double arrow$ 24 + x = 30
$rightwards double arrow$ x = 6 cm
So, a = 12 cm
b = 12 cm
c = 6 cm
$therefore space space space space space space space space space straight s space equals space fraction numerator straight a plus straight b plus straight c over denominator 2 end fraction equals fraction numerator 12 plus 12 plus 6 over denominator 2 end fraction equals 15 space cm therefore space space space space space space space space Area space equals square root of straight s left parenthesis straight s minus straight a right parenthesis left parenthesis straight s minus straight b right parenthesis left parenthesis straight s minus straight c right parenthesis end root space equals space 9 square root of 15 space cm squared space space space space space space space space space space space space space space space space$

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Statistics

An isosceles triangle has perimeter 30 m and each of the equal sides is 12 cm. Find area of the triangle.

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