8. State Heron's formula. Using this formula find the area of a triangular board whose sides are in the ratio 2:3:5
and its perimeter is 100m
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Answer:
Hero formula : √S(S-a) (S-b) (S-c)
S= Perimeter/2
Perimeter =2x+3x+5x
100m=10x
x=10m
a=10m*2=20m
b=10m*3=30m
c=10m*5=50m
S according to question = 100m/2=50m
Area=√50(50-20)(50-30)(50-50)
=√50*30*50*0
=√0
=0 square metre
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