C-08-Q204mediumsingle_mcq
The circumcentre of a right-angled triangle lies—
The circumcentre of a right-angled triangle lies—
- ainside the triangle
- boutside the triangle
- con the hypotenuse (its midpoint)
- dat the right-angle vertex
ব্যাখ্যা
By Thales' theorem the hypotenuse subtends a right angle, so it acts as a diameter of the circumcircle. The centre of a diameter is its midpoint, so the circumcentre is exactly the midpoint of the hypotenuse.