Question

2. The sides of a triangle are in the ratio 1:3:5 and its perimeter is 72 cm. The length of the
largest side is
a. 40 cm
b. 24 cm
C. 45 cm
d. 12 cm​

Answer 1

Answer:

size of longest side is 40 centimetre

Answer 2

Given

• The sides of a triangle are in ratio 1:3:5.
• Perimeter of the triangle is 72cm.

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To find

• The length of the largest side.

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Solution

• Firstly, let the ratio of sides be x.

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Then,

⟹ First side = 1x

⟹ Second side = 3x

⟹ Third side = 5x

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As we know that perimeter of a triangle is sum of all sides of a triangle.

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→ x + 3x + 5x = 72

→ 9x = 72

→ x = 72/9

→ x = 8

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As we can see that the largest side of the triangle is 5x.

• By putting the value

⟹ Largest side = 5x = 40cm

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Hence,

• Length of the largest side of the triangle is 40cm. Therefore, option (a) is the correct option.