The sides of a triangle are 5 cm, 4 cm and 3 cm. The length of its longest altitude is
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Step-by-step explanation:
Given: the sides of a triangle are 3 cm, 5 cm and 4 cm.
To find out: Area of triangle
Solution:-
The lengths of the sides are a=3 cm, b=5 cm, c=4 cm.
∴s=
2
a+b+2
=
2
3+5+4
cm=6 cm
We use the formula,
Δ=
s(s−a)(s−b)(s−c)
.
∴Δ=
6(6−3)(6−5)(6−4)
cm
2
=
6×3×1×2
sq.cm
=6 sq.cm
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