Gregor is using 35 feet of spare fencing to build a triangular play pen for his dog. So far, he has constructed two sides that join at a right angle, and one of the sides is 12 feet long. He begins to construct the third side, which is 17 feet long, by attaching the fencing at an angle to the side that is 12 feet long. Part A: To the nearest degree, what is the angle between the side that is 12 feet long and the side that is 17 feet long?

Part B: What is the length of the second side?

Part C: Will Gregor have enough fencing to complete the triangular pen? Why or why not?

Select one answer for Part A, one answer for Part B, and one answer that correctly answers both questions for Part C.

Answer choices below

C: No, Gregor will not have enough fencing to complete the triangular pen. He has 35 feet of fencing, but he needs 41 feet.
A: 45°
B: 12 feet
B: 10.6 feet
B: 8.5 feet
C: No, Gregor will not have enough fencing to complete the triangular pen. He has 35 feet of fencing, but he needs 36 feet.
B: 17 feet
C: Yes, Gregor will have enough fencing to complete the triangular pen. He has 35 feet of fencing and will use only 32.5 feet.
A: 60°
A: 90°
C: Yes, Gregor will have enough fencing to complete the triangular pen. He has 35 feet of fencing and will use only 34.6 feet.
A: 30°