Delhi Police Constable 5 Jan 2026 Shift 1 Paper

Concept:A triangle with sides 7 cm, 24 cm, and 25 cm forms a right triangle because $7^2 + 24^2 = 49 + 576 = 625 = 25^2$. For a right triangle, area is half the product of the legs, and the altitude to the hypotenuse is $2 \times \text{area} \div \text{hypotenuse}$.Explanation:First, verify it is a right triangle. Compute $7^2 + 24^2 = 49 + 576 = 625$ and $25^2 = 625$. Since both are equal, the triangle is right-angled, with the longest side (25 cm) as the hypotenuse.The legs are 7 cm and 24 cm. Area of right triangle = $\frac{1}{2} \times 7 \times 24 = 84$ cm².The altitude to the longest side (hypotenuse) is found using: altitude = $\frac{2 \times \text{Area}}{\text{hypotenuse}} = \frac{2 \times 84}{25} = \frac{168}{25} = 6.72$ cm.Thus, area = 84 cm² and altitude = 6.72 cm.Answer:84 cm² and 6.72 cm (Option D)