Q:

Where is the circumcenter of this triangle located? outside the triangle inside the triangle on a side of the triangle at a vertex of the triangle a right triangle is made. the base of the right triangle is horizontal in left direction and the perpendicular of the right triangle is vertical in downward direction. the right angle is marked?

Accepted Solution

A:
Circumcenter of a triangle:The point where the perpendicular bisector of triangle meet is called Circumcenter. From that point we can draw a circle passing through all the three vertices of triangle.That circle is known as circumcircle.As there are three kinds of Triangle1. Acute Angled Triangle : Circumcenter lies inside the triangle.2. Right Angled Triangle : Circumcenter lies on Hypotenuse3. Obtuse Angled Triangle : Circumcenter lies outside in front of largest AngleAs Given The base of the right triangle is horizontal in left direction and the perpendicular of the right triangle is vertical in downward direction.The right angle is marked on the point of intersection of  segments, base and altitude.