In which triangle will the circumcenter lie 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 can be outside a triangle?

An altitude of a triangle is the perpendicular segment from a vertex of a triangle to the opposite side (or the line containing the opposite side). An altitude of a triangle can be a side or may lie outside the triangle.

Can the centroid of a triangle be outside?

2. Could the centroid be outside the triangle? Ans: No Solution:The intersection of any two medians is inside the triangle.

Which triangle centers are always collinear?

We already know that the circumcenter, orthocenter, and centroid are always collinear., contained by the Euler Line. However, by manipulating the lengths of the sides of the triangle, we discover that the incenter is also collinear.

Is altitude same as height?

True altitude is the actual elevation above mean sea level. It is indicated altitude corrected for non-standard temperature and pressure. Height is the vertical distance above a reference point, commonly the terrain elevation.

Is the centroid the same as the circumcenter?

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.

Is circumcenter the center of gravity?

Circumcenter – The intersection of the perpendicular bisectors of the three sides of the triangle. Also the center of gravity of the triangle. Euler Line – The line containing the circumcenter, orthocenter, and centroid. These points are always collinear.

Can a triangle have 3 altitudes?

An altitude of a triangle is a segment from a vertex of the triangle, perpendicular to the side opposite that vertex of the triangle. Since all triangles have three vertices and three opposite sides, all triangles have three altitudes.

Can a triangle have 2 altitudes?

Yes, the above given statement is true in case of a right-angled triangle where two altitudes of the triangle are two of its sides.