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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 )