Find the area of a right triangle, if the radius of its circumcircle is 2.5 cm and the altitude drawn to the hypotenuse is 2 cm long.
Given, r = Radius of circumcircle = 2.5 cm
Now in a right angled triangle, the circumcentre is the mid-point of hypotenuse.
So, Hypotenuse = 2(r) = 2(2.5) = 5 cm
Given, Altitude drawn to hypotenuse = 2 cm
Then, area of triangle
= 1/2 x base x altitude
= 1/2 x 5 x 2
= 5 cm^2
Therefore, Area of the right triangle = 5 cm^2