A diagonal of a polygon is a line segment that joins two nonconsecutive vertices.

Number of Diagonals of a Polygon

4 · (4 − 3) : 2 = 2

5 · (5 − 3) : 2 = 5 6 · (6 − 3) : 2 = 9

Diagonal of a Square

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

Example

Calculate the length of the diagonal for the square with a side of 5 cm.

Diagonal of a Rectangle

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

Example

Calculate the length of the diagonal of a rectangle of 10 cm base and 6 cm height.

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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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