Height of a Polygon


The height of a polygon is the length of a perpendicular line drawn from one vertex to the opposite side (or its extension).

Height of a PolygonHeight of a Polygon

Orthocenter

Orthocenter

The orthocenter is the point of intersection of the three heights of a triangle.

Equilateral Triangle Height

Equilateral Triangle Height

By applying the Pythagorean theorem for one half of the equilateral triangle, we obtain:

Height of an Equilateral Triangle

Height of an Equilateral Triangle

Height of an Equilateral Triangle

Example

Calculate the height of an equilateral triangle with a side of 10 cm.

Equilateral Triangle

Height of an Equilateral Triangle

Height of an Equilateral Triangle

Isosceles Trapezoid Height

Isosceles Trapezoid

Isosceles Trapezoid Height

By applying the Pythagorean theorem for one of the triangles, we obtain:

Isosceles Trapezoid Height

Example

Calculate the height of an isosceles trapezoid whose bases are 10 and 4 cm, and its side, 5 cm.

Isosceles Trapezoid

Isosceles Trapezoid Height

Isosceles Trapezoid Height