Find the area of the triangle whose lengths of sodes are 7 m,24m,25m, use heron's formula
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Solution:-
Let the sides of the Triangle be a , b and c.
a = 7m
b = 24m
c = 25m.
Now,
s = ( a + b + c)/2
=) s = ( 7 + 24 + 25)/2
=) s = 56/2
=) s = 28.
Area of Triangle = √[ s(s-a)(s-b)(s-c)]
=) Area = √[ 28 ( 28-7)(28-24)(28-25)]
=) Area= √[ 28 × 21 × 4 × 3]
=) Area = √[ 7 × 4 × 7 × 3 × 4 × 3]
=) Area = 7 × 4 × 3
=) Area = 84 sq. units.
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