Question

Find the area of right angled triangle if the radius of its circum-circle is 5cm and the altitude drawn to the hypotenuse is 4cm

Answer 1

Radius of circumcircle = 5 cm

We know that in a right angled triangle, the circumcentre is the mid-point of hypotenuse.

So, Hypotenuse = 2 (radius of circumcircle) = 10 cm

Now, Altitude drawn to hypotenuse = 4 cm

So, area of triangle = 1/2 x Base x Altitude

= 1/2 x 10 x 4

= 20 cm^2

Therefore, Area of the given triangle = 20 cm^2