13. Find the area of the triangle in which (i) a = 13 m, b = 14 m, c = 15 m;
with explain
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Given ,
to find the area of the triangle with the sides
a=13m,b=14m,c=15cm
as we know that, area of triangle with sides is given as
ar(Δ)=
S(S−a)(S−b)(S−c)
where, S=
2
a+b+c
so, here we get
S=
2
13+14+15
=
2
42
=21 sq units
so, now, ar(Δ)=
s(s−a)(s−b)(s−c)
we get ,
ar(Δ)=
(21)(21−13)(21−14)(21−15)
=
21(8)(7)(6)
=
21×8×42
168×42
=
7056
sq units
=84sq units
∴ar(Δ)=84 sq units
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