Difference between revisions of "Special Right Triangles"

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==45-45-90 Triangles==
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#REDIRECT [[Special right triangles]]
 
 
{{main|45-45-90 triangle}}
 
This concept can be used with any [[right triangle]] that has two <math>45^\circ</math> angles. All 45-45-90 triangles are [[isosceles]], so let's call both legs of the triangle <math>x</math>. If that is the case, then the [[hypotenuse]] will always be <math>x\sqrt2</math>.
 
 
 
==30-60-90 Triangles==
 
 
 
{{main|30-60-90 triangle}}
 
A 30-60-90 triangle is a right triangle that has a <math>30^\circ</math> angle and a <math>60^\circ</math> angle. Let's call the side opposite of the <math>30^\circ</math> angle <math>x</math>. Then, the side opposite of the <math>60^\circ</math> angle would have a length of <math>x\sqrt 3</math>. Finally, the hypotenuse of a 30-60-90 Triangle would have a length of <math>2x</math>. There is also the ratio of <math>1:\sqrt3:2</math>. With 2 as the hypotenuse and 1 opposite of the 30 degrees. That leaves <math>\sqrt3</math> as the only length left.
 
 
 
==See Also==
 
* [[Pythagorean triple]]
 
 
 
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Latest revision as of 14:54, 31 January 2025