Explanation:

- A right-angled triangle has one angle of 90 degrees. Its sides consist of a base, height, and hypotenuse.

- Given: base = 24 cm, hypotenuse = 25 cm.

- Use the Pythagorean theorem: a² + b² = c², where c is the hypotenuse.

- Calculate the height (b): \(24^2 + b^2 = 25^2\).

- \(576 + b^2 = 625\)

- \(b^2 = 49\)

- \(b = 7\) cm

- Area formula for a triangle: \( \frac{1}{2} \times \text{base} \times \text{height} \).

- Area = \( \frac{1}{2}\) × 24 cm × 7 cm = 84 cm².

- Option choices:

- Option 1: 92 cm²

- Option 2: 72 cm²

- Option 3: 108 cm²

- Option 4: 84 cm²