Question

the sides of triangle are in ratio 4:5:6 if perimeter of triangle is 45 cm find the sides of triangle​

Answer 1

QUESTION :

Thee sides of triangle are in ratio 4:5:6 if perimeter of triangle is 45 cm find the sides of triangle.

ANSWER :

Let the sides of the triangle be 4x ,5x ,6x

Given that,

Perimeter = 45 cm

4x +5x +6x = 45 cm

15x = 45

x = 45/15

x = 3

So, the sides of the triangle are,

4x = 4(3) = 12 cm

5x = 5(3) = 15 cm

6x = 6(3) = 18cm

FINAL ANSWER : 12 cm, 15 cm, 18 cm

Answer 2

Solution :-

__________________________

Answer :-

12cm, 15cm, and 18cm.

__________________________

Given :-

Perimeter = 45 cm

Sides in Ratio 4 : 5 : 6

__________________________

To Find :-

All the Three Sides of a Triangle.

__________________________

Step By Step Solution :-

As we know,

Perimeter = Sum of all sides.

Let the sides be X.

Then,

$4x + 5x + 6x = 45 \\ \\ 15x = 45 \\ \\ x = \cancel \dfrac{ 45}{15} \\ \\ x = 3$

Now X = 3

__________________________

Sides ⤵

$4x = > 4 \times 3 = > 12cm \\ \\ 5x = > 5 \times 3 = > 15cm \\ \\ 6x = > 6 \times 3 = > 18cm$

__________________________

Check :-

As we know the Perimeter of a Triangle = Sum of all the sides.

So,

L. H. S.

4x + 5x + 6x = 45

Taking the value of X = 3

=> 4 × 3 + 5 × 3 + 6 × 3

=> 12 + 15 + 18

=> 30 + 15

=> 45

R. H. S.

=> 45

Therefore L. H. S. = R. H. S.

Hence Verified

__________________________