Download Midsegment Theorem—The segment connecting the

GPS Geometry
Inequalities in One Triangle
Worksheet 5-5
Name ____KEY__________________
Use the Exterior Angle Inequality Theorem to list all of the angles that satisfy the stated condition.
1.
m3 __>____ m8
3.
m6 __<____ m9
2 4 7
1
3
List the angles and sides of each triangle in order from smallest to largest.
5.
6.
Sides: RP , PQ, QR
Angles: Q, R, P
7.
8.
Sides: HG , FG , HF
Angles: F , H , G
9.
Sides: BC , AC , AB
Angles: A, B, C
10.
5
6
8 9
List the angles of ABC from the smallest to the largest.
11. AB  17, BC  21, AC  18
12. AB  15, BC  17, AC  16
Angles: C , B, A
List the sides of ABC from the longest to shortest.
13. mA  46 , mB  30
14. mC  101 , mB  70
Sides: AB, BC , AC
Find the value of x and list the sides of ABC in order from shortest to longest if the angles have the indicated
measures. (Hint: Find the angle measures first, then decide which sides are the longest.)
x4
15. mA   9x  29 , mB   93  5x  , mC  10x  2 
mA  65
Sides: AB, BC , AC
mB  73
mC  42
16. mA   9x  4 , mB   4x 16  , mC   68  2x 
17. mA  12x  9 , mB   62  3x  , mC  16x  2 
x 5
mA  51
Sides: AC , BC , AB
mB  47
mC  82
19. X = 7