The ratio of equal and unequal side of an
isoseles tringle is
3:5. If its perimeter is
110 Find thits area by heronce formula
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Solution:
The perimeter of an isosceles △=32cm .
Given that the ratio of the equal side to its base is 3:5
So the ratio of all three sides of the isosceles △=3:3:5
Sum of the ratios = 3+3+5=11
Length of equal side = 83×32=3×4=12
Length of the base = 82×32=2×4=11
According to Heron's formula, Area of an isosceles △ with equal sides a & base b
= 41×b×(4a2−b2)
∴ Area of the given isosceles triangle, where a=12 & b=11
= 41×11×(4×122)−82
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