Hypotenuse of a Right Triangle
The hypotenuse of a right triangle is the
side opposite the right angle of the triangle. Sometimes, each
remaining side of the right angled triangle is called the leg
of the right triangle. Below is the picture of the hypotenuse
of a right triangle. The hipotenus to side of the right
triangle leads to many theorems used in Geometry including the
Pythagorean Theorem.
Picture of the hypotenuse of a right
triangle

If we draw an
altitude to the hypotenuse of the right
triangle or a line that perpendicular to the
hypotenuse, then CD divides the hypotenuse of
the right triangle (AB) into two segments (AD
and BD). This bisection of the hypotenuse
of the right triangle is shown
below.
The segment
AD of the hypotenuse of the right triangle is
adjacent to AC and the segment BD of the
hypotenuse is adjacent to BC.

There are now three triangles: ACD, CDB, and
the original right triangle ABC. From this picture of the
hypotenuse of the right triangle, we can conclude many
proportions of the triangles.
