The base of a right-angled triangle is 8 cm and its hypotenuse is 10 cm. The area of the triangle is:

1. 80 cm²

2. 40 cm²

3. 48 cm²

4. 24 cm²

Given:

Base of the triangle = 8 cm

Hypotenuse of the triangle = 10 cm

Let h be the height of the triangle.

In a right-angled triangle, using the Pythagorean theorem,

Base² + Height² = Hypotenuse²

⇒ (8)² + h² = (10)²

⇒ 64 + h² = 100

⇒ h² = 100 - 64

⇒ h² = 36

⇒ h = $\sqrt{36}$

⇒ h = 6 cm

As we know, the area of the triangle = $\dfrac{1}{2}$ x side x height

= $\dfrac{1}{2}$ x 8 x 6 cm²

= $\dfrac{1}{2}$ x 48 cm²

= 24 cm²

Hence, option 4 is the correct option.