Quick Answer: What Is Altitude In Math?

What is meant by altitude of 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. The three altitudes of any triangle (or lines containing the altitudes ) intersect at a common location called the orthocentre.

What is difference between altitude and median?

Median – A line segment joining a vertex of a triangle with the mid-point of the opposite side. Altitude – A line segment joining a vertex of a triangle with the opposite side such that the segment is perpendicular to the opposite side.

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. The orange line that goes through this triangle is the altitude.

What is altitude example?

It describes the angle between the horizon and some point in the sky. For example, if a star is directly overhead, its altitude is 90 degrees. If a star has just set or is just about to rise, it is right at the horizon and has an altitude of 0 degrees.

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What is difference between height and altitude?

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.

What is Orthocentre of Triangle?

The orthocenter is the point where all three altitudes of the triangle intersect. An altitude is a line which passes through a vertex of the triangle and is perpendicular to the opposite side. There are therefore three altitudes in a triangle.

What is an altitude of a right 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).

Can you have a triangle with two right angles?

No, a triangle can never have 2 right angles. A triangle has exactly 3 sides and the sum of interior angles sum up to 180°. So, if a triangle has two right angles, the third angle will have to be 0 degrees which means the third side will overlap with the other side.

Can a triangle have two 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. This can be illustrated by the following figure.

What is the median in 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.

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Does an altitude bisect the vertex angle?

The altitude to the base of an isosceles triangle bisects the vertex angle. The altitude to the base of an isosceles triangle bisects the base. When the altitude to the base of an isosceles triangle is drawn, two congruent triangles are formed, proven by Hypotenuse – Leg.

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