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.

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Emma

I am passionate about travelling and currently live and work in Paris. I like to spend my time reading, gardening, running, learning languages and exploring new places.

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