Chapter 7 7.3: Constructing Triangles Objective… Key vocabulary

Chapter 7
7.3: Constructing Triangles
Objective…
Key vocabulary…
Included Side
Picture
Definition
Included Angle
Definition
Picture
Part A: Construct a Triangle with Given Measures
• Construct a triangle given the lengths of all three sides
Example:
Step
1
2
Task
Chapter 7
7.3: Constructing Triangles
3
4
5
1)
Draw a triangle given...PQR: PQ = 5.6 cm, QR = 4.5 cm, and PR = 8.2 cm
• Construct a triangle given measures of two angles and an included side
Example:
Step
1
2
Task
Chapter 7
7.3: Constructing Triangles
3
4
Draw a triangle given...ABC: BC = 4 cm, Angle ABC = 25o, & Angle ACB = 120o
1)
• Construct a triangle given the measures of two sides and an included angle
Example:
Step
1
2
3
Task
Chapter 7
7.3: Constructing Triangles
4
5
Draw a triangle given...KLM: KL = 8.2 cm, KM = 6.9 cm, and Angle LKM = 75o
1)
Construct a triangle given the measures of two sides and a non-included
angle
Example:
•
Step
1
2
3
Task
Chapter 7
7.3: Constructing Triangles
4
5
1)
Draw a triangle given...KLM: KL = 7 cm, KM = 9 cm, and Angle KLM = 125o
Part B: Identify the Conditions that Determine a Unique Triangle
Examples:
A) Suppose you are given these measures for triangle XYZ:
a. Angle YXZ = 40o
b. XY = 7.4 cm
c. YZ = 3 cm
d. Can you construct a triangle?
B) Suppose you are given these measures for triangle XYZ:
a. Angle YXZ = 40o
b. XY = 7.4 cm
c. YZ = 5.2 cm
d. Can you construct a triangle?
Chapter 7
7.3: Constructing Triangles
Decide whether a triangle can be drawn from given information about its
measures
1)
AB = 8 cm, BC = 6.5 cm, and AC = 3.8 cm
•
2)
XY = 7 cm, YZ = 5.5 cm, and Angle YXZ = 50o
3)
DE = 8 cm, DF = 5 cm, and DEF = 50o
Practice… Find the number of triangles that can be constructed. Try constructing
the triangles to make your decision.
1)
PQ = 4.8 cm, QR = 5.4 cm, Angle PQR = 100o
2)
AB = 6.2 cm, BC = 4.8 cm, Angle BAC = 75o
3)
ST = 7.7 cm, SU = 5.2 cm, Angle STU = 40o

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