Question

The sides of a triangle are in the ratio of 2:3:5. If its perimeter is 30 cm, then what are the lengths
of the sides?
OR​

Answer 1

Answer :

• Length of sides is 6cm , 9cm and 15cm

Given :

• The sides of a triangle are in the ratio of 2:3:5
• Perimeter is 30cm

To find :

• Lengths of the sides

Solution :

• Let the ratio be 2x , 3x and 5x

And also Given that,

• Perimeter is 30cm

》2x + 3x + 5x = 30

》10x = 30

》x = 30/10

》x = 3cm

Then

• 2x = 2(3) = 6cm
• 3x = 3(3) = 9cm
• 5x = 5(3) = 15 cm

Hence , Length of sides is 6cm , 9cm and 15cm

Verification :

Given the length of sides is ,

• 6cm
• 9cm
• 15cm

》6 + 9 + 15

》30cm

Answer 2

Given :

• The sides of a triangle are in the ratio of 2:3:5.
• Perimeter of Triangle = 30cm

To Find :

• Length of its sides

Solution :

✰ As we know that, Perimeter of a Triangle is given by Sum of all the sides . Now in this question, the ratio of sides are given so we will simply put the given values in the formula to find the length of its sides.

⠀⠀

⟿ Let first side be 2p

⟿ Let second side be 3p

⟿ Let third side be 5p

⠀

According to the Question :

⠀⠀⟼⠀⠀Sum of all the sides = Perimeter

⠀⠀⟼⠀⠀2p + 3p + 5p = 30

⠀⠀⟼⠀⠀5p + 5p = 30

⠀⠀⟼⠀⠀10p = 30

⠀⠀⟼⠀⠀p = 30 / 10

⠀⠀⟼⠀⠀p = 3

________________

Therefore :

⟿ First Side of Triangle = 2p

⟿ First Side of Triangle = 2 × 3

⟿ First Side of Triangle = 6cm

⠀

⟿ Second Side of Triangle = 3p

⟿ Second Side of Triangle = 3 × 3

⟿ Second Side of Triangle = 9cm

⠀

⟿ Third Side of Triangle = 5p

⟿ Third Side of Triangle = 5 × 3

⟿ Third Side of Triangle = 15cm

⠀

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