Find the area of a triangular field whose sides are 91m, 98m and 105m in length. Find the height corresponding to the longest side.
Given,
a = 91 m
b = 98 m
c = 105 m
Therefore,
s =
=
= 147
We know that,
Area =
=
=
=
= 49 × 3 × 2 × 2 × 7
= 4116 m2
Longest side = c = 105 cm
Let, h be the height corresponding to the longest side of the triangle
Area of triangle =
4116 =
4116 × 2 = 2 × 4116
h =
= 78.4 m