# Can an altitude be a median?

## Can an altitude be a median?

The altitude is also a median. This means triangle ABC must be an isosceles triangle such that AB = BC (Note that the altitude is drawn from vertex B here).

## What is altitude of a right triangle?

Definition: Altitude of a triangle is the perpendicular drawn from the vertex of the triangle to the opposite side. Also, known as the height of the triangle, the altitude makes a right angle triangle with the base.

What is altitude in a triangle?

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. Demonstration.

How do you find the altitude of a triangle given two sides?

Given triangle area Well-known equation for area of a triangle may be transformed into formula for altitude of a right triangle: area = b * h / 2 , where b is a base, h height. so h = 2 * area / b.

### What is 3 altitudes of a triangle?

The point where all the three altitudes in a triangle intersect is called the Orthocenter. Both the altitude and the orthocenter can lie inside or outside the triangle.

### What is a median in a triangle?

The definition of a median is the line segment from a vertex to the midpoint of the opposite side. It is also an angle bisector when the vertex is an angle in an equilateral triangle or the non-congruent angle of an isoceles triangle. Comment on mwhopkins7’s post “The definition of a median is the line segment fro…”

Is the Orthocenter always inside the triangle?

The orthocenter is not always inside the triangle. If the triangle is obtuse, it will be outside. To make this happen the altitude lines have to be extended so they cross. Adjust the figure above and create a triangle where the orthocenter is outside the triangle.

Is it possible for a triangle to have two obtuse angles?

An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles. Since a triangle’s angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle.

#### Can a triangle have one obtuse and right angle?

A triangle cannot have one obtuse and one right angle as 90o+ angle >90o= angle >180o.

#### Why can a triangle only have one right angle?

Ans- No a triangle cannot have more than one right angle as if there are 2 right angles the their sum will be 180° and the third angle will exceed the sum. Therefore the construction is not possible.

What is the greatest number of obtuse?

The shape which has the greatest number of obtuse angles is the myriagon. A myriagon has 10,000 sides and 10,000 angles!

What is the greatest number of angles a triangle can have?

three

three angles

## How do you solve a triangle with two sides and one angle?

“SAS” is when we know two sides and the angle between them. use The Law of Cosines to calculate the unknown side, then use The Law of Sines to find the smaller of the other two angles, and then use the three angles add to 180° to find the last angle.