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Homework Solutions
Geometry CP, Nov 30
Inequalities in One Triangle
Book Section: 5-3
Essential Question: How does the concept of inequality pertain to a
triangle?
Standards: CCSS G.CO.10, G.MG.3; G-3.5
Inequality – The Idea in Math
Properties of Inequality
Similar to its Equality Cousin
Even a Theorem for It
Example 1
Use the Exterior Angle Inequality Theorem
Example 1
Use the Exterior Angle Inequality Theorem
Example 1
A.
B.
C.
D.
Example 1
A.
B.
C.
D.
Angles and Side Relationships
Example 2
Order Triangle Angle Measures
List the angles of ΔABC in order from smallest to largest.
Answer: C, A, B
Example 2
List the angles of ΔTVX in order
from smallest to largest.
A. X, T, V
B. X, V, T
C. V, T, X
D. T, V, X
Example 3
Order Triangle Side Lengths
List the sides of ΔABC in order from
shortest to longest.
Answer: AC, AB, BC
Example 3
List the sides of ΔRST in order from shortest
to longest.
A. RS, RT, ST
B. RT, RS, ST
C. ST, RS, RT
D. RS, ST, RT
Examples
Classwork: Textbook p.349, 24-37
Homework: HW Due 12/4, 1-10