The base of an isosceles is 14cm and its perimeter is 36cm.find its area
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Area = 42√2cm²
Explanation
Base = 14cm
P = 36cm
∴ Length of other two sides = 36 - 14 = 22cm
∴ Length of each side = 22/2 cm = 11cm
Semiperimeter = P/2 = 18cm
Area using Heron's formula,
= √ [s(s-a)(s-b)(s-c)]
= √ (18 x 4 x 7 x 7)
= √ (9 x 4 x 2 x 49)
= (3 x 2 x 7)√2
= 42√2 cm²
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