Quick Answer: How Many Medians Can A Triangle Have?

What is equidistant from the three vertices of the triangle?

The CIRCUMCENTER of a triangle is the point in the plane equidistant from the three vertices of the triangle.

The CIRCUMCENTER of a triangle is the point in the plane equidistant from the three vertices of the triangle..

What is altitude in a triangle?

In geometry, an altitude of a triangle is a line segment through a vertex and perpendicular to (i.e., forming a right angle with) a line containing the base (the side opposite the vertex).

Is altitude always 90 degree?

In geometry, the altitude is a line that passes through two very specific points on a triangle: a vertex, or corner of a triangle, and its opposite side at a right, or 90-degree, angle. The opposite side is called the base. … It also forms a right angle as it crosses the opposite side, which is called the base.

How many medians and altitudes Can a triangle have?

Medians and Altitudes of a Triangle |Three Altitudes and Three Medians.

Are the 3 medians of a triangle concurrent?

The median of a triangle is a segment joining any vertex to the midpoint of the opposite side. The medians of a triangle are concurrent (they intersect in one common point). The point of concurrency of the medians is called the centroid of the triangle. … Simply construct the three medians of the triangle.

What is equidistant from the three sides of the triangle?

The incenter is equidistant from the sides of the triangle. That is, PI=QI=RI . The circle drawn with the incenter as the center and the radius equal to this distance touches all three sides and is called incircle or the inscribed circle of the triangle.

Can a triangle have two right angles?

Answer and Explanation: Because of the fact that the sum of the three interior angles of a triangle must be 180 degrees, a triangle could not have two right angles.

How many right angles Can a triangle have?

one right angleAnswer and Explanation: A triangle can have at most one right angle, or an angle that has a measure of 90°. When a triangle has a right angle, it is called a right…

What is the centroid of a triangle?

The geometric centroid (center of mass) of the polygon vertices of a triangle is the point (sometimes also denoted ) which is also the intersection of the triangle’s three triangle medians (Johnson 1929, p. 249; Wells 1991, p. 150). The point is therefore sometimes called the median point.

What is Orthocentre of a triangle?

Orthocenter – the point where the three altitudes of a triangle meet (given that the triangle is acute) Circumcenter – the point where three perpendicular bisectors of a triangle meet. Centroid- the point where three medians of a triangle meet.

Is the centroid always inside the triangle?

No matter what shape your triangle is, the centroid will always be inside the triangle. … The centroid is the center of a triangle that can be thought of as the center of mass. It is the balancing point to use if you want to balance a triangle on the tip of a pencil, for example.

Which is the longest side of a right triangle?

hypotenuseThe hypotenuse of a right triangle is always the side opposite the right angle. It is the longest side in a right triangle. The other two sides are called the opposite and adjacent sides.

What is the Orthocenter of a right triangle?

The orthocenter of a triangle is the point where the perpendicular drawn from the vertices to the opposite sides of the triangle intersect each other. … For a right triangle, the orthocenter lies on the vertex of the right angle.

How many medians are in a triangle?

three mediansShowing that the three medians of a triangle divide it into six smaller triangles of equal area.

What is the maximum number of medians a triangle can have?

threea. In any triangle there can only be three medians.

What is Orthocentre formula?

The formula to calculate the slope is given as, Slope of a line=(y2-y1)/(x2-x1). Orthocenter of a triangle is the point of intersection of all the altitudes of the triangle. The orthocenter of a triangle is denoted by the letter ‘O’.

Where is the Circumcenter of a right triangle?

The circumcenter of a right triangle is the midpoint of the hypotenuse.

Are medians of a triangle equal?

Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle’s centroid. In the case of isosceles and equilateral triangles, a median bisects any angle at a vertex whose two adjacent sides are equal in length. The concept of a median extends to tetrahedra.