Download 5.6 Worksheet - Rochester Community Schools

Name:___________________________________
Geometry
Date:________________________ Hour:______
5.5 – 5.6 Worksheet
List the sides and the angles in order from smallest to largest.
Sketch and label the triangle described
7. Side lengths: 14, 17, 19, with longest side on the bottom
Angle measures: 45°, 60°, and 75°, with smallest angles at the right
8.
Side lengths: 11, 18, 24, with shortest side on the bottom
Angle measures: 25°, 44°, and 111°, with largest angle on at the left
9.
Side lengths: 32, 34, 48, with shortest side arranged vertically at the right
Angle measures: 42°, 45°, and 93°, with largest angle at the top.
Is it possible to construct a triangle with the given side lengths? If not, explain why not.
10. 6, 10, 15
11. 11,16, 32
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Describe the possible lengths of the third side of the triangle given the lengths of the other two sides.
12. 12 in., 6 in.
14. 12 cm, 17 cm
13. 13 ft, 8 ft
15. 7 yd, 13 yd
Story Problem:
16. Distance Union Falls is 60 miles NE of Hayneville. Titus City is 40 miles SE of Hayneville. Is it
possible that Union Falls and Titus City are less than 100 miles apart? Justify your answer.
***Hint: Draw a picture.***
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Complete with <, >, or =.
17. AB __?__ DE
19.
m1 __?__ m2
18. FG __?__ LM
20.
m1 __?__ m2
21.
MS __?__ LS
Complete with <, >, or =.
22.
m1 __?__ m2
23. ET __?__ GT
24. m1 _?_ m2
Error Analysis:
25. Explain why the student's reasoning is not correct.
By the Hinge Theorem, AB > DC
Use the Hinge Theorem or its converse and properties of triangles to write and solve an inequality to
describe a restriction on the value of x.
26.
27.
Story Problem:
28) You and a friend are going shopping. You leave school and drive 10 miles due west on 26th
Street. You then drive 7 miles NW on Raspberry Street to the grocery store. Your friend
leaves school and drives 10 miles due east on 26th Street. He then drives 7 miles SE on
Cascade Street to the movie store. Each of you has driven 17 miles. Which of you is farthest
from your school?