Question

the sides of a triangle are in the ratio 5, 13, 14 and its perimeter is 168 cm., find the area of the triangle

Answer 1

5x+13x+14x=168
32x=168
x=168/32=9.5


5*9.5=47.5
13*9.5=123.5
14*9.5=133

Answer 2

Answer:

• 1,344cm^2

Step-by-step explanation:

Perimeter =Sum of the length of all the sides of the triangle

168cm=15x+13x+14x

168cm=32x

X=168/42

X=4cm

Sides of the triangle =15*4=60cm

13*4=52cm

14*4=56cm

Now area of the triangle by herons formula is

Root 84(84-60)(84-52)(84-56)

=root 84*24*32*28

=root 18,06,336

=1,344cm^2