1. Special Right Triangles
GEOMETRY LESSON 7-3
Pages Exercises
1. x = 8; y =
2. x = 2 ; y = 2
3. y =
4. x = 15; y = 15
6. 9 cm ft
12. x = 20; y =
13. x = 3; y = 3
14. x = 5; y =
15. x = 24; y =
16. x = 4; y = 2
17. x = ; y = 6
18. x = 9; y = 18
19. x = ; y =
20. x = ; y =
cm2
cm2 m2
24. a = 7; b = 14; c = 7; d =
7-3

2. Special Right Triangles
GEOMETRY LESSON 7-3
31. Answers may vary. Sample: A ramp up to a door is 12 ft long. It has an incline of 30°. How high off the ground is the door? sol.: 6 ft
32. a. 28 ft
b. about 0.28 min
33. a. 8.5 m
b. 3.1 m m2
25. a = 6; b = ; c = ; d = 6
26. a = ; b = ; c = 15; d = 5
27. a = 4; b = 4
28. a = 3; b = 7
29. a = 14; b =
30. Rika; Sandra marked the shorter leg as opposite the 60° angle.
cm2
ft2
yd2 m2
units2
40. a units
b units
c. s 3 units
7-3

3. Special Right Triangles
GEOMETRY LESSON 7-3
41. a.  units2
b. A =
c.  units2
42. A
43. C
44. D
45. D 3 h 1 2
46. [2] a. Let a leg measure x.
Then x2 = 16
and x = m.
b. The hypotenuse is 2 • leg, so • 2 = 8 m.
[1] incorrect calculation OR no explanation cm
cm2
49. no
50. yes
51. no; an isosceles trapezoid
52. yes; AAS Thm.
53. no
54. no
55. yes; ASA Post.
7-3