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Q.

The sides of a triangle are in the ratio 1: 3: 5 and its perimeter is 90 cm. The length of its largest side is ____ cm.

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Detailed Solution

The sides of a triangle are in the ratio 1: 3: 5 and its perimeter is 90 cm. The length of its largest side is 50 cm.
Given, the sides of a triangle are in the ratio 1: 3: 5 and its perimeter is 90 cm.
Let the common ratio be x.
Perimeter of the triangle = sum of the sides
90 = x + 3x + 5x
9x = 90

x = \frac{90}{9}

x = 10
So the largest side is 5x.
= 5

\times

10
= 50 cm
Hence, the largest side is 50 cm.
So, the correct answer is 50.

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