find the area of a right angled triangle if the radius of its circumcircle is 2.5 cm and altitude drawn to the hypotenuse is 2m long

 

Radius of circumcircle = 2.5 cm

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

So, Hypotenuse = 2 (radius of circumcircle) = 5 cm

Now, Altitude drawn to hypotenuse = 2 m = 200 cm

So, are of triangle = 1/2 X Base X Altitude

= 1/2 X 5 X 200

= 500 cm²

= 5 m²

Therefore, Area of the given triangle = 5 m²

btw the hypotenuse can't be 2 m long.

The must be in centimetres.

For this case do this way:

Radius of circumcircle = 2.5 cm

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

So, Hypotenuse = 2 (radius of circumcircle) = 5 cm

Now, Altitude drawn to hypotenuse = 2 cm

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

= 1/2 X 5 X 2

= 5 cm²

Therefore, Area of the given triangle = 5 cm²

 ptjain, i have a doubt....

Is  500cm²   =  5m²  ?

0r is it equal to 0.5m²  ?

u r correct.

but  500cm²   =  0.05m² 

^{i apologise for my mistake.}