Answer:
- Angle A = 90 degrees, side a = 2.
- Angle B = 30 degrees, side b = 1.
- Angle C = 60 degrees, side c =
.
Side c:
- 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
), 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.