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