Geo_Book_Answers

Answers to Exercises
LESSON 9.2
1. yes
2. yes
3. no
4. no
5. no
6. no
7. no
8. No, the given lengths are not a Pythagorean
triple.
9. y 25 cm
10. y 24 units
11. y 17.3 m
12. 6, 8, 10
13. 60 cm 2
14. 14.1 ft
15. 17.9 cm 2
16. 102 m
17a. 1442 cm 2
17b. 74.8 cm
18. Sample answer: The numbers given satisfy the
Pythagorean Theorem, so the triangle is a right
triangle; but the right angle should be inscribed
in an arc of 180°. Thus the triangle is not a right
triangle.
106 ANSWERS TO EXERCISES
19. Sample answer: (BD) 2 62 32 27;
(BC) 2 (BD) 2 92 108; then (AB) 2 (BC) 2
(AC) 2 (36 108 144), so ABC is a right
triangle by the Converse of the Pythagorean
Theorem.
20. centroid
3
21. 10
22. Because mDCF 90°, mDCE (90 x)°.
Because DCE is isosceles, mDEC (90 x)°.
mD 180° 2 (90 x)° 2x.Because D is a
central angle, 2x a.Therefore,x 1
2 a.
23. The path from C to M to T lies on a straight
line and therefore must be shorter than the path
from C to A to T.
P
C
24. 790 square units
25.
26. 19
A
U
M
T
B