Question

The sides of a triangle are in ratio 3:4:5. The perimeter of triangle is 96 cm. Find the sides of the triangle?

Answer 1

Answer:

If the sides of a triangle are in the ratio 3:4:5 and the perimeter of the triangle is 96 cm, then the sides of the triangle are 24 cm, 32 cm, and 40 cm respectively

Step-by-step explanation:

Given

the ratio of sides of the triangle = 3:4:5

Let a, b, c be the sides of the triangle

If a=3x, then b and c are 4x and 5x respectively.

The perimeter of the triangle = 96cm

The perimeter of a triangle = sum of three sides of the triangle

That is, 96= a+ b+ c

96= 3x+4x+5x

96=12x

x= 96/12 = 8

Side 'a' of the triangle = 3x =3*8 = 24cm

Side 'b' of the triangle =4x = 4*8 = 32cm

Side 'c' of the triangle = 5x = 5*8 = 40 cm

Therefore, the sides of the triangle are 24 cm, 32 cm, and 40 cm respectively