Geometry Worksheet
5.5 Use Inequalities in One Triangle
Name _______________
1. Name the shortest and longest segments in !BCD .
2. Name the shortest and longest segments in !ABD .
3. What is the shortest segment in the figure?
4. Which segments are longer than BD ?
5. A triangle has coordinates A (0,0), B (5,1), and C (2,4). List the angles from least to
greatest.
6. If m ! M = 4x+20, m ! N = 2x + 5, m ! O = 3x + 20, list the sides of ! MNO in order from
longest to shortest.
Is it possible for the side lengths of triangles to have the following measures?
7.
3 cm, 3 cm, 3 cm
8.
1 in, 2 in, 3 in
9.
19m, 19 m, .01 m
Two side of a triangle are 21 and 24 inches. Is it possible for the given length to be
the third side?
10.
3 inches
11.
56 inches
12.
40 inches
In Exercises 13–14, m∠A < m∠B< m∠C. Describe the possible values of x.
13.
14.