Question

side of triangle are in ratio 3:4:5 .its perimeter is 144..find area of triangle and height corresponding to its longer sides?

Answer 1

Let the three sides of the triangle be 3x, 4x and 5x respectively,
now A/Q
Perimeter of triangle=144
3x+4x+5x=144
12x=144
x=12
Now,
1st side=3x=3*12=36
2nd side=4x=4*12=48
3rd side=5x=5*12=60
Thereafter,
Area of triangle using heron's formula=864 sq. units

Answer 2

Answer:

Let the three sides of the triangle be 3x, 4x and 5x respectively,

now A/Q

Perimeter of triangle=144

3x+4x+5x=144

12x=144

x=12

Now,

1st side=3x=3*12=36

2nd side=4x=4*12=48

3rd side=5x=5*12=60

Thereafter,

Area of triangle using heron's formula=864 sq. units

Step-by-step explanation: