Calculate the area of the triangle whose sides are 18cm, 24cm and 30 cm in length. Also, find the length of the altitude corresponding to the smallest side.

Given,

a = 18 cm

b = 24 cm

c = 30 cm

Therefore,

s =

= 36

We know that,

Area =

=

=

=

= 6 × 6 × 3 × 2

= 216 cm^{2}

Smallest side = a = 18 cm

Let, h be the height corresponding to the smallest side of the triangle

Therefore,

Area of triangle =

216 =

18 × h = 216 × 2

h =

= 24 cm

6