Question

For right angled triangle circumcenter lies at the _____ of hypotenuse.

• A. inside
• B. outside
• C. midpoint
• D. opposite

Answer 1

The correct option is C midpoint

Since angle subtended by a diameter at any point on circumference is ${90}^{\circ }$; we get, if C is point on circumference, then AB has to be diameter.

Thus, for right angled triangle circumcenter lies at the centre of hypotenuse.

Hypotenuse become the diameter of the circle .So the mid point of hypotenuse become circumcentre.