# What are the properties of the altitudes in a triangle?

## What are the properties of the altitudes in a triangle?

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.

### How do you find the altitude in a triangle?

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.

#### Why is area of equilateral triangle?

In an equilateral triangle, median, angle bisector and altitude for all sides are all the same and are the lines of symmetry of the equilateral triangle. The area of an equilateral triangle is √3 a2/ 4. The perimeter of an equilateral triangle is 3a.

Which of the following bisects an equilateral triangle?

All three sides are equal. All three angles are congruent and are equal to 60 degrees. It is a regular polygon with three sides. The perpendicular drawn from vertex of the equilateral triangle to the opposite side bisects it into equal halves.

How many altitudes Can a triangle have answer?

three altitudes
The three altitudes of a triangle intersect at the orthocenter, which for an acute triangle is inside the triangle.

## What is the altitude rule?

The right triangle altitude theorem or geometric mean theorem is a result in elementary geometry that describes a relation between the altitude on the hypotenuse in a right triangle and the two line segments it creates on the hypotenuse. It states that the geometric mean of the two segments equals the altitude.

### Is altitude the same as height?

Height: Vertical distance from the point of observation on the Earth’s surface to the point being measured. Altitude: Vertical distance from mean sea level to the point being measured.

#### What is the altitude of an equilateral triangle?

The altitude or height of an equilateral triangle is the line segment from a vertex that is perpendicular to the opposite side. It is interesting to note that the altitude of an equilateral triangle bisects its base and the opposite angle.

How do you find the area of a equilateral triangle with height?

In general, the height of an equilateral triangle is equal to √3 / 2 times a side of the equilateral triangle. The area of an equilateral triangle is equal to 1/2 * √3s/ 2 * s = √3s2/4.

How many altitudes can a Class 7 triangle?

Answer: Three A triangle has three altitudes- one end is at the vertex and the other on the opposite side.