Pre-Algebra Chapter 9
Pre-Algebra Chapter 9
Pre-Algebra Chapter 9
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36. GEOMETRY All angles inscribed in a<br />
semicircle are right angles. In the figure<br />
at the right, ACB is an inscribed right<br />
angle. If the length of AB is 17 and the<br />
length of AC is 8, find the length of BC.<br />
A<br />
8<br />
C<br />
17<br />
B<br />
37. CRITICAL THINKING The hypotenuse of an isosceles right triangle<br />
is 8 inches. Is there enough information to find the length of the legs?<br />
If so, find the length of the legs. If not, explain why not.<br />
Standardized<br />
Test Practice<br />
38. WRITING IN MATH Answer the question that was posed at the beginning<br />
of the lesson.<br />
How do the sides of a right triangle relate to each other?<br />
Include the following in your answer:<br />
• a right triangle with the legs and hypotenuse labeled, and<br />
• an example of a set of numbers that represents the measures of the<br />
lengths of the legs and hypotenuse of a right triangle.<br />
39. Which numbers represent the measures of the sides of a right triangle?<br />
A 3, 3, 6 B 3, 4, 7 C 5, 7, 12 D 6, 8, 10<br />
40. Which is the best estimate for the value of x?<br />
A 5.0 B 7.9<br />
C 8.3 D 16.0<br />
12 cm<br />
x cm<br />
9 cm<br />
Extending<br />
the Lesson<br />
GEOMETRY In the rectangular prism shown,<br />
BD is the diagonal of the base, and FD is the<br />
diagonal of the prism.<br />
41. Find the measure of the diagonal of the base.<br />
42. What is the measure of the diagonal of the<br />
prism to the nearest tenth?<br />
E<br />
A<br />
F<br />
10<br />
B<br />
8<br />
15<br />
H<br />
D<br />
G<br />
C<br />
43. MODELING Measure the dimensions of a shoebox and use the<br />
dimensions to calculate the length of the diagonal of the box. Then<br />
use a piece of string and a ruler to check your calculation.<br />
Maintain Your Skills<br />
Mixed Review<br />
Find the value of x in each triangle. Then classify each triangle as acute,<br />
right, or obtuse. (Lesson 9-4)<br />
44. x˚<br />
45. 46.<br />
x˚<br />
46˚<br />
33˚<br />
63˚<br />
x˚<br />
47. Use a protractor to draw an angle having a measure of 115°. (Lesson 9-3)<br />
27˚<br />
48˚<br />
54˚<br />
Getting Ready for<br />
the Next Lesson<br />
ALGEBRA Solve each inequality. (Lesson 7-4)<br />
48. x 4 12 49. 15 n 6<br />
PREREQUISITE SKILL Simplify each expression.<br />
(To review order of operations and exponents, see Lessons 1-2 and 4-2.)<br />
50. (2 6) 2 (5 6) 2 51. (4 3) 2 (0 2) 2 52. [3 (1)] 2 (8 4) 2<br />
464 <strong>Chapter</strong> 9 Real Numbers and Right Triangles
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