The sides of a triangle are in the ratio 3 4 5 If the perimeter of the triangle is 24 cm its area is...........

Quantitative Aptitude (CPO) Geometry

The sides of a triangle are in the ratio 3 : 4 : 5. If the perimeter of the triangle is 24 cm, its area is:

This questions was previously asked in

SSC CPO 15th-March-2019-Shift-1

18 cm³

24 cm²

20 cm²

22.89 cm²

- The given ratio of the sides is 3 : 4 : 5.

- Let the sides be 3x, 4x, and 5x.

- The perimeter is the sum of all sides: 3x + 4x + 5x = 12x.

- We know the perimeter is 24 cm, so 12x = 24.

- Solving for x gives x = 2.

- Thus, the sides are 6 cm (3x), 8 cm (4x), and 10 cm (5x).

- These sides form a right triangle (since 6^2 + 8^2 = 10^2).

- Use the formula for the area of a right triangle: 1/2 * base * height.

- Area = 1/2 * 6 * 8 = 24 cm².

- Correct Answer: Option:2 - 24 cm².

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