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Right Triangles and Trigonometry

Right Triangles and Trigonometry

Right Triangles and Trigonometry: Feelin' All Right Triangles True or False

1. Which of the following is guaranteed to give us a 45-45-90 triangle? -> Drawing the diagonal of a rectangle
2. Which of the following is guaranteed to give us a 30-60-90 triangle? -> Drawing the altitude of an equilateral triangle
3. A 45-45-90 triangle has a leg with length 10. What is the exact length of the hypotenuse? ->
4. A 30-60-90 triangle has a hypotenuse of length 10. What is the length of its shortest leg? -> 8
5. A 30-60-90 triangle has a hypotenuse of length 24. What are the lengths of the two legs? -> 10 and 12
6. What is the value of sin A × cos B?

->

7. In the equation cos-1 x = y, the variable y most likely represents which of the following? -> An angle measurement
8. In a right triangle, the sine of one of the angles has a value of . What is the angle's measurement in degrees? -> 60°
9. The tangent of an angle in a triangle is 1. If one of the legs has a length of x, what is the length of the hypotenuse? ->
10. If A and B are the two acute angles in a right triangle, which of the following is true? -> sin A = cos B

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