If angle A is 90 degrees, side a is the hypotenuse.
<--- <em>this is NOT the correct way to write the Pythagorean theorem. I changed it to fit the side lengths. Normally, it is </em><em>, where c is the hypotenuse. Since a is the hypotenuse, I switched the variables.</em>
Finding the angles:
<em>In a 30-60-90 right triangle, the...</em>
<em>Shortest leg = x</em>
<em>Longest leg = </em><em> </em>
<em>Hypotenuse = 2x </em>
In this case, the shortest leg is 1, the longer leg is (or ), and the hypotenuse is 2 (or ).
As a result, this is a 30-60-90 triangle -- angle B is 30 degrees while angle C is 60 degrees.
.
<--- <em>this is NOT the correct way to write the Pythagorean theorem. I changed it to fit the side lengths. Normally, it is </em>
<em>, where c is the hypotenuse. Since a is the hypotenuse, I switched the variables.</em>
<em> </em>
), and the hypotenuse is 2 (or
).