The value of the circumradius of the right-angled triangle shown in the figure is __________.
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 9.5 m
The angle in a semicircle is a right angle, so the hypotenuse of a right-angled triangle is a diameter of its circumcircle. The circumcentre is the midpoint of the hypotenuse, and the circumradius is half the hypotenuse; the length x is not needed.
Hypotenuse CB = 19 m
Circumradius \(\displaystyle =\frac{19}{2}=9.5\) m
