Question

if hypotenuse of a right angle triangle is 5 cm find the radius of the circle passing through all the vertices of the triangle

Answer 1

We know that in any semicircle, the angle formed at any point of circumference is 90°.
Hence, the diameter of the diameter of the circle becomes the hypotenuse of the triangle formed.
In the given situation,hypotenuse of right -angled triangle is acting as diameter of the circle circumscribing the triangle.
Hence,radius of circle= 1/2 hypotenuse of triangle= 5/2 cm = 2.5 cm