Question

if the sides of a triangle are in ratio 3:4:5 and its perimeter is 24cm find the measure of each side of the triangle

Answer 1

To find :

  We have to find the measure of each side of the triangle whose sides are in the ration 3 : 4 : 5 and it's perimeter is 24 cm.

Answer :

  The sides of the triangle are 6 cm, 8 cm and 10 cm

Solution :

The given ratio of the measure of the sides = 3 : 4 : 5

Let, x be the common multiple

Then, the sides be 3x cm, 4x cm and 5x cm

Perimeter of the triangle = 24 cm (given)

  ⇒ 3x + 4x + 5x = 24

  ⇒ 12x = 24

  ⇒ x = 2

Thus, the sides are

  3x = 3 × 2 cm = 6 cm

  4x = 4 × 2 cm = 8 cm

  5x = 5 × 2 cm = 10 cm

Answer 2

The answer is

a) 6cm

b) 12cm

c) 10cm

Step-by-step explanation:

per. of triangle = 3:4:5

= 3x+4x+5x = 24cm

= 12x = 24

x = 2

Thus, the sides are

= 3×2 = 6cm

= 4×2 = 12cm

= 5×2 = 10cm