What is the median of obtuse angle triangle?

What is the median of obtuse angle triangle?

Line joining vertex to mid point of opposite side of a triangle is median of a triangle. & D is mid-point of BC. i.e. AE = EC. & F is the mid point of AB.

Where do medians intersect in obtuse triangle?

inside the triangle
The medians of an obtuse triangle will always intersect inside the triangle.

What is the median of a triangle?

In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side.

What is the orthocenter of an obtuse triangle?

The orthocenter is the intersection point of the altitudes drawn from the vertices of the triangle to the opposite sides. For an acute triangle, it lies inside the triangle. For an obtuse triangle, it lies outside of the triangle. For a right-angled triangle, it lies on the vertex of the right angle.

Where is the median of an acute triangle?

Median of a Triangle – a segment whose endpoints are the vertex of a triangle and the midpoint of the opposite side. The medians of a triangle intersect at a point that is two-thirds of the distance from each vertex to the midpoint of the opposite side.

How many medians does an acute angled triangle have?

The smallest integer-sided triangle with three rational medians is acute, with sides (68, 85, 87).

What is the altitude of an obtuse triangle?

For an obtuse-angled triangle, the altitude is outside the triangle. For such triangles, the base is extended, and then a perpendicular is drawn from the opposite vertex to the base.

Where can the altitudes of a obtuse triangle intersect?

The lines containing the altitudes of a obtuse triangle intersect outside the triangle.

How many Orthocenters Can a triangle have?

three
The three (possibly extended) altitudes intersect in a single point, called the orthocenter of the triangle, usually denoted by H. The orthocenter lies inside the triangle if and only if the triangle is acute (i.e. does not have an angle greater than or equal to a right angle).

What is Excentre of a triangle?

Excircles and excenters An excircle or escribed circle of the triangle is a circle lying outside the triangle, tangent to one of its sides and tangent to the extensions of the other two. Every triangle has three distinct excircles, each tangent to one of the triangle’s sides.

Line joining vertex to mid point of opposite side of a triangle is median of a triangle. & D is mid-point of BC. i.e. AE = EC.

What is the point where the 3 medians meet called?

The point where the 3 medians meet is called the centroid of the triangle. Point O is the centroid of the triangle ABC. Each median of a triangle divides the triangle into two smaller triangles which have equal area. In fact, the 3 medians divide the triangle into 6 smaller triangles of equal area.

What is the point of concurrency of medians?

The median of a triangle further divides the triangle into two triangles having the exact area measurement. For a given triangle, the second median divides the triangle formed by the first median in the ratio 1: 2. Each triangle has three medians, one from every vertex. The point of concurrency of three medians forms the centroid of the triangle.

What are the three edges of a triangle called?

a, b and c are three edges of the triangle. Q.4. What does the median mean in a triangle? Ans: Medians of a triangle is the line segment joining a vertex to the mid-point of the opposite side of a triangle is called a median. A triangle contains three medians, one from each vertex. Q.5. What is the centroid of a triangle?

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