Mathematics
Find the area of an isosceles triangle whose equal sides are 12 cm each and the perimeter is 30 cm.
Mensuration
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Answer
Consider △ABC as the isosceles triangle.
Here, AB = AC = 12 cm.
Perimeter = 30 cm
⇒ AB + AC + BC = 30
⇒ 12 + 12 + BC = 30
⇒ BC = 30 - 24 = 6 cm.
We know that,
Semi-perimeter (s) = = 15 cm.
Area of an isosceles triangle = , where a is length of equal sides and b is the length of other side.
Substituting values we get,
Hence, area of isosceles triangle = 34.86 cm2.
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