Question

The lengths of the sides of a triangle are 33cm,44cm and 55cm respectively.FFind the area of the triangle and hence find the height corresponding to the side measuring 44cm

Answer 1

using herons formula find the area
s =33 +55+44÷2 =66
area=
$\sqrt{s(s - a)(s - b)(s - c)}$
=726
726=1/2×44×h
h=33

Answer 2

it is very simple because it is right angled triangle (square of 55=sum of squares of 33 and 44,so corresponding side of 44 is 33