The lengths of the three sides of a triangle are in the ratio of 2 2 3 If the perimeter of the trian...........

Quantitative Aptitude (MTS) Ratio, Proportion

The lengths of the three sides of a triangle are in the ratio of 2 : 2 : 3. If the perimeter of the triangle is 42 cm, then what is the

length of the largest side?

This questions was previously asked in

SSC MTS 11th July 2022 Shift-2

15 cm

20 cm

12 cm

18 cm

- The sides of the triangle have a ratio of 2:2:3.

- Let's assign variables to the sides: 2x, 2x, and 3x, reflecting the ratio.

- The perimeter is the sum of all sides: \(2x + 2x + 3x = 7x\).

- Given that the perimeter is 42 cm, we have the equation: \(7x = 42\).

- Solving for x: \(x = 42 / 7 = 6\).

- Therefore, the largest side is \(3x = 3 \times 6 = 18 \text{ cm}\).

- The correct option is Option 4: 18 cm.

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