7.4 Challenge Problems
Simplify each radical expression:
√
√
1.
2.
√
√
3.
√
√
4. In the diagram below, YZ = 2. Find the exact side lengths of VWX, a 15°-75°-90° triangle. After you find all the side
lengths, rewrite your answers so that the smallest side VW = x. (If you get stuck and need a bit of a hint, try the “Hint
4” link before watching the video.)
5. The radius of a quarter circle centered at the origin is 1 unit. Find the exact coordinates of points A, B, C, D, and E.
(If you get stuck and need a bit of a hint, try the “Hint 5” link before watching the videos.)
y
E
D
C
1
B
15°
15°
30°
A
1
x