Given: Radius of circle = 8 cm

Altitude = 6 cm

Since, in a right-angled triangle the hypotenuse

is the diameter of circumcircle.

Therefore,

Hypotenuse = 2 × Radius

= 2 × 8 cm

= 16 cm

Now, we consider the hypotenuse as base and the altitude to the hypotenuse as height

So,

Area of a triangle = 1/2 × Base × Height

= 1/2 × 16 cm × 6 cm

= 1/2 × 96 cm²

= 48 cm²