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Difference between revisions of "Special Right Triangles"

(→‎45-45-90 Special Right Triangles)
(→‎30-60-90 Special Right Triangles)
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Finally, the hypotenuse of a 30-60-90 Triangle would have a length of <math>2x</math>.
 
Finally, the hypotenuse of a 30-60-90 Triangle would have a length of <math>2x</math>.
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==See Also==
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[[Pythagorean triple]]

Revision as of 01:16, 5 November 2016

45-45-90 Special Right Triangles

This concept can be used with any right triangle that has two $45^\circ$ angles.

A 45-45-90 Triangle is always isosceles, so let's call both legs of the triangle $x$.

If that is the case, then the hypotenuse will always be $x\sqrt 2$.

30-60-90 Special Right Triangles

This concept can be used for any right triangle that has a $30^\circ$ angle and a $60^\circ$ angle.

Let's call the side opposite of the $30^\circ$ angle $x$.

Then, the side opposite of the $60^\circ$ angle would have a length of $x\sqrt 3$.

Finally, the hypotenuse of a 30-60-90 Triangle would have a length of $2x$.

See Also

Pythagorean triple

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