Problem 5 of 34geo-005
In right triangle , the right angle is at , the measure of angle is , and the hypotenuse is centimeters long. What is the length, in centimeters, of ?
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Solution walkthrough1:54
- The angles of a triangle add to , so angle is degrees: a 30-60-90 triangle.
- A 30-60-90 triangle has sides , , across from its , , angles.
- The hypotenuse is and it is , so and the short leg is .
- is across from the angle at , so .
- Traps: is the short leg . and treat as the short leg, but it is the hypotenuse.