Question

The length of the side of a triangle are in the ratio 3:4:5 and its perimeter is 144cm .the area of the triangle is

Answer 1

Answer:

The sides are in the ratio 3:4:5 and the perimeter is 144cm. So, the sides are 36cm,48cm and 60cm.

By heron's formula, the area of the triangle is :

√(s(s-a)(s-b)(s-c)) = √(72(72−36)(72−48)(72−60))

= 864 cm^2

Answer 2

Step-by-step explanation:

let the common multiple be x cm

therefore, first side=3x cm

therefore, second side=4x cm

therefore, third side=5x cm

according to question,

3x+4x+5x=144

or, 12x = 144

or, x=144/12

or, x=12

therefore, first side =3x cm

=3*12cm

=36cm

therefore, 4x cm

4*12cm

=48 cm

therefore, 5x cm

=5*12 cm

=60cm

semiperimeter = 72 cm

The area of the triangle ={72(72-36)(72-48)(72-60)}sq cm

={72(36* 24*12)]sq cm

=864 sq cm