Difference between revisions of "Hypotenuse"
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The '''hypotenuse''' of a [[right triangle]] is the side opposite the [[right angle]]. It is also the longest side of the triangle. | The '''hypotenuse''' of a [[right triangle]] is the side opposite the [[right angle]]. It is also the longest side of the triangle. | ||
| + | The hypotenuse can be found by using the formula | ||
| + | <math>a^2+b^2=c^2</math> where a and b are legs of the triangle and c is the hypotenuse. | ||
The hypotenuse is a [[diameter]] of the [[circumcircle]]. It follows that the midpoint of the hypotenuse of the triangle is the center of the circle. The converse also holds: if the length of the median of <math>\triangle ABC</math> from <math>C</math> is the same as <math>\frac12 AB</math>, then <math>\triangle ABC</math> is a right triangle with its right angle at <math>C</math>. | The hypotenuse is a [[diameter]] of the [[circumcircle]]. It follows that the midpoint of the hypotenuse of the triangle is the center of the circle. The converse also holds: if the length of the median of <math>\triangle ABC</math> from <math>C</math> is the same as <math>\frac12 AB</math>, then <math>\triangle ABC</math> is a right triangle with its right angle at <math>C</math>. | ||
Revision as of 00:00, 27 February 2010
The hypotenuse of a right triangle is the side opposite the right angle. It is also the longest side of the triangle.
The hypotenuse can be found by using the formula
where a and b are legs of the triangle and c is the hypotenuse.
The hypotenuse is a diameter of the circumcircle. It follows that the midpoint of the hypotenuse of the triangle is the center of the circle. The converse also holds: if the length of the median of 
from 
is the same as 
, then is a right triangle with its right angle at .
See also
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