Download GP 5.5 Inequalities in a Triangle

Geometry
Name ______________________
Period ___________
Date ___________
GP 5.5 – Inequalities in a Triangle
List the sides and the angles in order from smallest to largest.
1.
2.
3.
Sides: _____ , _____ , _____.
_____ , _____ , _____.
_____ , _____ , _____.
Angles: _____ , _____ , _____.
_____ , _____ , _____.
_____ , _____ , _____.
4. Sketch and label the triangle described.
Side lengths: 37, 35, and 12, with the shortest side on the right
Angle measures: 71°, 19°, and 90°, with the right angle at the top.
5. A triangle has one side that has a length of 15 and another with a length of 8. Determine
the possible lengths of the 3rd side.
Small values of x
Large values of x
Is it possible to construct a triangle with the given side lengths? If not, explain why not.
6. 8, 2, 9
7.
20, 3, 23
8. 8, 4, 3
Describe the possible lengths of the third side of the triangle given the lengths of the other
two sides.
9. 8 in., 12 in.
10. 14 ft, 4 ft
11.
Describe the possible values for x.
12.
13.
a. Given GHF, what are the possible lengths for GF, GH, and HF?
b. The perimeter of GHF must be between what 2 integers?
9 m, 9 m