What is the circumcenter of a right angle triangle?

The circumcenter is the point where the perpendicular bisector of the triangle meets. In a right-angled triangle, the circumcenter lies at the center of the hypotenuse.

What is difference between Circumcentre and centroid?

The centroid of a triangle is the point at which the three medians meet. The circumcenter is also the center of the circle passing through the three vertices, which circumscribes the triangle. This circle is sometimes called the circumcircle.

How do you find the Circumcentre Orthocentre?

The orthocenter is the point of intersection of three altitudes drawn from the vertices of a triangle. The circumcenter is the point of intersection of the perpendicular bisector of the three sides.

Can the circumcenter of a triangle be outside?

The circumcenter is not always inside the triangle. In fact, it can be outside the triangle, as in the case of an obtuse triangle, or it can fall at the midpoint of the hypotenuse of a right triangle. See the pictures below for examples of this.

Is Circumcentre and Incentre same?

Circumcenter is the center of the circumcircle, which is a circle passing through all three vertices of a triangle. To draw the circumcenter create any two perpendicular bisectors to the sides of the triangle. Incenter: Incenter is the point of intersection of the three angle bisectors.

Is Circumcentre and Orthocentre same?

Orthocentre of a triangle: The point of concurrency of the altitudes of a triangle is known as the orthocentre of the triangle. Circumcentre of a triangle: The point of intersection of the perpendicular bisector of the sides of a triangle is known as circumcentre of the triangle.

Which triangle has a circumcenter outside the triangle?

obtuse triangles
The circumcenter lies inside the triangle for acute triangles, on the hypotenuse for right triangles and lies outside the triangle for obtuse triangles.

What is inradius of equilateral triangle?

The inradius of an equilateral triangle is s 3 6 \frac{s\sqrt{3}}{6} 6s3 ​​. Note that the inradius is 1 3 \frac{1}{3} 31​ the length of an altitude, because each altitude is also a median of the triangle.