Question

The perimeter of triangular garden is 900cm and its sides are in the ratio 3:5:4.find the area of the triangular garden using herons formula and its shortest altitude.

Answer 1

Answer:

Let the common multiple be x

3x+5x+4x=900

12x=900

x=75

3x=75*3=225

5x=75*5=375

4x=75*4=300

Area,

S=225+375+300/2

=450

Area=√450(450-225)(450-375)(450-300)

=√450*225*75*150

=5*3*2*5*3*5*3*5

=33750cm