Question

Find the area of right angled triangle if the radius of the cicumcircle is 2.5 cm then the altitude drawn to the hypotenuse us 2cm long.

Answer 1

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

Answer 2

Given, r = Radius of circumcircle = 2.5

cm

Now in a right angled triangle, the

circumcentre is the midpoint of

hypotenuse.

So, Hypotenuse = 2(0) = 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