Triangle Pre-Test

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Triangle Pre-Test
Name______________________
Score: _____ / 15 pts
Date____________________
Consider a triangle ABC. (2 pts each)
1) If  A  90, what can you conclude about the measure of  B? Explain.
2) If  B has a greater measure than  C, what must be true of the sides b and c ? Why?
In Exercises 3 - 8, state an equation you can use to solve for x. ( 1 pt each )
3)
4)
8
x
x
5
60
20
115
10
Equation__________________________
Equation__________________________
5)
6)
x
9
6
5
48
5
x
7
Equation__________________________
Equation__________________________
7)
8)
5
x
x
40
35
20
7
6
Equation__________________________
Equation__________________________
You know that a triangle is completely determined by the lengths of two of its
sides and the measure of the angle included by these sides ( SAS ). In  XYZ, x = 4,
y = 8, and  Z = 50.
9) Use the Law of Cosines to find the side z to the nearest hundredth. ( 1 pt )
10) Use the Law of Sines to find the measure of  Y to the nearest tenth of a degree.
Then compute the measure of  X. ( 2 pts )
Note that x  y  z.
11) What does this imply about the measures of  X,  Y, and  Z ? ( 1 pt )
12) Do your answers to Exercises 10 and 11 agree? If not, explain where an error in
your reasoning occurred. ( 1 pt )
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