# 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).

### Orthocenter

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

### Equilateral Triangle Height

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

#### Example

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

### Isosceles Trapezoid Height

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

#### Example

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