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Easy

Question

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

hintHint:

Use the formula ,

The correct answer is: 34.86 cm2


    Let length of the third side = b
    It is given that perimeter of triangle = 30 cm
    12 + 12 + x = 30
    x = 30 – 24 = 6 cm
    Area of an isosceles triangle = b over 2 square root of a squared minus b squared over 4 end root where a is length of equal side and b is third side
    So, a = 12 and b = 6 cm
    Area of an isosceles triangle = 6 over 2 square root of 12 squared minus 6 squared over 4 end root equals 3 square root of 144 minus 36 over 4 end root
    3 square root of 135 equals 9 square root of 15
    = 34.86 cm2

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