Area of a triangle: Difference between revisions

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imported>Olier Raby
(Cat.)
imported>Matt Mahlmann
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The area of any triangle can be calculated using the following equation:
The area of any [[triangle]] can be calculated using the following equation:


<math> Area = \left(\frac{1}{2}\right)bc (sin A) = \left(\frac{1}{2}\right)ac (sin B) = \left(\frac{1}{2}\right)ab (sin C) </math>
<math> Area = \left(\frac{1}{2}\right)bc (sin A) = \left(\frac{1}{2}\right)ac (sin B) = \left(\frac{1}{2}\right)ab (sin C) </math>
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== Right triangles ==
== Right triangles ==


For right triangles, the angle C, opposite the hypotenus (c), is 90 degrees.  The sign of 90 degrees is 1, so the equation reduces to:
For [[right triangle|right triangles]], the angle C, opposite the [[hypotenuse]] (c), is 90 degrees.  The sine of 90 degrees is 1, so the equation reduces to:





Revision as of 17:26, 2 November 2007

The area of any triangle can be calculated using the following equation:


Triangle


Right triangles

For right triangles, the angle C, opposite the hypotenuse (c), is 90 degrees. The sine of 90 degrees is 1, so the equation reduces to: