Question

The perimeter of a triangle is 45m. Ratio of its sides are 3:4:2, find the length of its biggest side.​

Answer 1

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Solution :

The sides in a triangle are in the ratio of 3 : 4 : 2.

Suppose that the sides of the triangle are 3x, 4x and 2x respectively.

Perimeter of the triangle :

> Side 1 + Side 2 + Side 3

> 3x + 4x + 2x

> 9x .

But, the perimeter of the triangle is 45m.

> 9x = 45

> x = 5.

The biggest side of the triangle is 4x

> 4x = 4 * 5 = 20 meters.

The other sides of the triangle are 15 meters and 10 meters respectively.

This is the required answer.

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Answer 2

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The sides in a triangle are in the ratio of 3 : 4 : 2.

Suppose that the sides of the triangle are 3x, 4x and 2x respectively.

Perimeter of the triangle :

> Side 1 + Side 2 + Side 3

> 3x + 4x + 2x

> 9x .

But, the perimeter of the triangle is 45m.

> 9x = 45

> x = 5.

The biggest side of the triangle is 4x

> 4x = 4 * 5 = 20 meters.

The other sides of the triangle are 15 meters and 10 meters respectively.

This is the required answer.

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