Altitude of a Triangle

1. What is altitude in a triangle in Geometry?

In geometry, the altitude of a triangle refers to the perpendicular distance from a vertex of the triangle to the line containing the opposite side. It is a line segment that forms a right angle with the base, creating a right-angled triangle with the base.

2. How to find Altitude of a Triangle?

To find the altitude of a triangle, one can use the formula:

Altitude = Area of the Traingle / Length of the corresponding base

If the length of the side of triangle are known then Pythagoras Theorem can be used.

3. How to draw the altitude of a triangle?

To draw the altitude of a triangle, follow these steps:

• Select a vertex of the triangle.
• Draw a line segment from the chosen vertex to the line containing the opposite side.
• Ensure that the line segment forms a right angle with the base.

4. What is the Altitude of a Triangle Meaning?

The altitude of a triangle represents the perpendicular distance from a vertex to the opposite side. It plays a crucial role in determining the height of the triangle and is often used in various geometric calculations.

5. What is Median in Triangle?

A median in a triangle is a line segment connecting a vertex to the midpoint of the opposite side. A triangle has three medians, each originating from a different vertex.

6. Are Altitude of Triangle Concurrent?

Yes, the altitudes of a triangle are concurrent, meaning they intersect at a single point known as the orthocenter. The orthocenter is the point where all three altitudes of a triangle meet. This property holds true for all types of triangles—scalene, isosceles, or equilateral.

7. Can an Altitude be Outside the Triangle?

Yes, an altitude can be drawn outside the triangle from a vertex perpendicular to the opposite side depending on the type of triangle.

8. Do all triangles have altitudes?

Yes, all triangles have minimum one altitude, but some might have more than one, depending on their types.

9. What is the importance of the orthocenter in a triangle?

The orthocenter is the point where all three altitudes meet, reflecting properties like concurrency and triangle geometry.

10. Do we consider altitudes and medians same?

No, while both include line segments drawn from vertices, medians connect to midpoint, while altitudes connect perpendicularly with the opposite side and forms a right triangle.

11. How does the area of a triangle affect the altitude?

The altitude is used to compute he area of a triangle, as the area is equal to the product of the base and the corresponding altitude which at last divided by two.

12. Can an isosceles triangle contain more than one altitude?

Yes, an isosceles triangle can have two altitudes – one for each of the congruent sides & another one which intersects at the vertices opposite to the base.

The Altitude of a triangle is the length of a straight line segment drawn from one of the triangle’s vertices (corners) perpendicular to the opposite side.

It’s like measuring the height of the triangle from a specific point to the base. The altitude is a fundamental concept in geometry and is often used to calculate the area of a triangle.

In this article, we have covered the Altitude of a Triangle, its Properties, the Altitude of each type of triangle, How to find Altitude, and many more in simple way.

Let’s dive right in.