Find the area of a right-angled triangle, the radius of whose circumcircle measures 8 cm and the altitude drawn to the hypotenuse measures 6 cm.
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