What is how to find height of a triangle?

Finding the Height of a Triangle

The height of a triangle is the perpendicular distance from a vertex to the opposite side (or the extension of the opposite side). This opposite side is usually called the base. The height is always at a 90-degree angle to the base.

Here are a few ways to find the height, depending on the information you have:

• Using Area and Base: If you know the Area of the triangle and the length of its Base, you can find the height using the formula:

  Height = (2 * Area) / Base

• Using Trigonometry: If you know the length of one side and the angle opposite to the height, you can use trigonometry. Specifically, the sine function:

  sin(angle) = Height / Side Therefore, Height = Side * sin(angle)

• Using the Pythagorean Theorem: If you have a right triangle or you can divide the triangle into right triangles, you can use the Pythagorean%20Theorem (a^2 + b^2 = c^2) to find the height, treating it as one of the legs of the right triangle.

• For an Equilateral Triangle: If you know the side length 's' of an Equilateral%20Triangle, the height can be calculated as:

  Height = (s * √3) / 2

Remember that the height must be perpendicular to the base. Sometimes the height falls outside the triangle, especially in obtuse triangles. In these cases, you're finding the perpendicular distance to the extension of the base.