Find area of a triangle whose sides are 8cm and 10 cm perimeter 24 cm
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Let the sides be a,b and c
a = 8 cm
b = 10 cm
P = 24 cm
c = P-(a+b)
= 24-(8+10)
= 24-18
= 6 cm
s = P/2 = 24/2 = 12 cm
s-a = 12-8 = 4 cm
s-b = 12-10 = 2 cm
s-c = 12-6 = 6 cm
By Heron's Formula,
Area of ∆ = √s(s-a)(s-b)(s-c)
= √12×4×2×6
= √2×6×2×2×2×6
= 2×2×6
= 24 cm²
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