Question

21. The sides of a triangle are in the ratio 1 : 1.5 : 2. If the perimeter is 13.5 cm, find the length of each side.

Answer 1

Answer:

3 cm, 4.5 cm and 6 cm.

Step-by-step explanation:

As the ratio is 1 : 1.5 : 2, let the sides are of length 1a, 1.5a and 2a.

Here,

= > perimeter = 13.5 cm

= > sum of sides = 13.5 cm

= > a + 1.5a + 2a = 13.5 cm

= > 4.5a = 13.5 cm

= > a = (13.5/4.5 ) cm

= > a = 3 cm

Hence, length of all sides:

a = 3 cm

1.5a = 1.5(3 cm) = 4.5 cm

2a = 2(3 cm ) = 6 cm

Answer 2

Answer:

Ratio of the side of a triangle is 1:1.5:2.

Let X be multiply to the each side of the triangle.

Therefore,

The side becomes X , 1.5X and 2X.

Perimeter of a triangle = 13.5

X + 1.5X + 2X = 13.5

4.5X = 13.5

X = 13.5/4.5

X = 3

Therefore,

First side = X = 3

Second side = 1.5X = 1.5 × 3 = 4.5 cm

And,

Third side = 2X = 2 × 3 = 6 cm