Basic Mathematics for College Students

Chapter 9 Summary and Review 819

c. d.

29. Classify each of the following triangles as an acute,
    an obtuse, or a right triangle.
    a. b.

50° 50°

44°

5 m 5 m 44°

5 m

9 cm

6 cm 7 cm

REVIEW EXERCISES

27. For each of the following polygons, give the number
    of sides it has, tell its name, and then give the
    number of vertices that it has.
    a. b.

c. d.

e. f.

28. Classify each of the following triangles as an
    equilateral triangle, an isosceles triangle, a scalene
    triangle, or a right triangle. Some figures may be
    correctly classified in more than one way.
    a. b.

8 in. 8 in.

Y

Z X

38. Refer to the figure shown
    here. Find .m(C)

c.

15°

160°

5°

70°

90°

20°

2 x

5 x + 26°

x + 10°

C

B

A

56.5°

47°

81° 19°

50°

B

D

E

A C

30. Refer to the triangle shown here.
    a. What is the measure of?
    b. What type of triangle is it?
    c. What two line segments
    are the legs?
    d. What line segment is the hypotenuse?
    e. Which side of the triangle is the longest?
    f. Which side is opposite?
    In each triangle shown below, find.


31. 
    
    
    
    32. 
        
    
    
    
    


32. In , and. Find
    .


33. For the triangle shown below, find x. Then determine
    the measure of each angle of the triangle.

m(A)

ABCm(B)32° m(C)77°

70°

60° x

70° 20°

x

x

X

X

d.

50°

70°

60°

35. One base angle of an isosceles triangle measures
    65°. Find the measure of the vertex angle.


36. The measure of the vertex angle of an isosceles
    triangle is 68°. Find the measure of each base angle.


37. Find the measure of
    of the triangle shown
    here.

C