Quick Answer: What Is A Altitude In Geometry?

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).

What is a altitude in geometry example?

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. All triangles have three vertices and three opposite sides.

How do you find altitude in geometry?

The basic formula to find the area of a triangle is: Area = 1/2 × base × height, where the height represents the altitude. Using this formula, we can derive the formula to calculate the height (altitude) of a triangle: Altitude = (2 × Area)/base.

Is altitude always 90 degree?

Yes, because it is the highest angle.

What is an example of an altitude?

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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Is altitude the 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.

What is altitude of a triangle class 7?

An altitude of a triangle is the perpendicular line drawn from the vertex of the triangle to the opposite side. The altitude of a triangle is also known as the height of the triangle. In triangle ABC, AD is the altitude which is a perpendicular line drawn from the vertex A to the point D in the opposite side BC.

What is the altitude of a right triangle?

Altitude of a Right Triangle The altitude of a right-angled triangle divides the existing triangle into two similar triangles. According to the right triangle altitude theorem, the altitude on the hypotenuse is equal to the geometric mean of line segments formed by altitude on the hypotenuse.

What is the property of altitude?

Properties of Altitudes of a Triangle The altitude is the shortest distance from the vertex to its opposite side. The 3 altitudes always meet at a single point, no matter what the shape of the triangle is. The point where the 3 altitudes meet is called the ortho-centre of the triangle.

Can a triangle have two altitudes?

In an isosceles triangles ( a triangle with two congruent sides), the altitude having the incongruent side as its base will have midpoint of that side as its foot and according to the congruence tests if the triangle, two altitudes are of equal length, then the triangle is isosceles.

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Is median and altitude same?

The altitude and median is not the same thing in a triangle. An altitude is a perpendicular bisector on any side of a triangle and it measures the distance between the vertex and the line which is opposite side whereas, a median is a line segment that connects a vertex to the central point of the opposite side.

Whats is the meaning of altitude?

1a: the vertical elevation of an object above a surface (such as sea level or land) of a planet or natural satellite. b: the angular elevation of a celestial object above the horizon.

Is an altitude in triangle ABC?

In a triangle, if through any vertex of the triangle we draw a line that is perpen- dicular to the side opposite the vertex, this line is an altitude of the triangle. The line opposite the vertex where the altitude is perpendicular to is the base. In △ABC above, BD is an altitude.

What does altitude mean in the dictionary?

noun. the height of anything above a given planetary reference plane, especially above sea level on earth. extent or distance upward; height. Astronomy. the angular distance of a heavenly body above the horizon.

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