Question

Q.The sides of a triangle are in the ratio 2:3:4 lf the perimeter of the triangle is 13.5 cm, find the sides of the triangle.​

Answer 1

Let the ratios be 2x, 3x and 4x

perimeter of the triangle = 13.5 cm

perimeter = sum of all sides

13.5=2x+3x+4x

13.5=9x

13.5/9=x

1.5=x

thus,

2x=2×1.5

=3 cm

3x=3×1.5

=4.5 CM

4x=4×1.5

=6 CM

thus, the sides of the triangle are 3 CM, 4.5 CM and 6 CM

verification -

perimeter = sum of all sides

13.5=3+4.5+6

13.5=13.5

LHS=RHS

thus, verified

Answer 2

Answer:

3,4.5,6

Step-by-step explanation:

2x+3x+4x=13.5

9x =13.5

x=1.5

2x=1.5*2=3

3x=1.5*3=4.5

4x=1.5*4=6

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