Pre-Calculus 11 Properties of Triangles
1. Determine the height of each triangle. How many distinct triangles can be created with the given
properties? Show steps and explain your answer.
a. b.
c. d.
e. f.
g. h.
i. A = 58˚, a = 9, b = 10 j. B = 27˚, c = 5, b = 2.27
k. C = 67˚, c = 37, a = 26 l. B = 12˚, c = 31, b = 6
2. Determine the number of possible triangles for each of the following questions. Justify your answer.
a. b. c.
d. A = 142˚, a = 17, c = 18 e. C = 109˚, b = 19, c = 22
Answers (You need to provide reasons on your own)
1) a. h = 4.5; One Solution b. h = 9.4; Two Solutions c. h = 10.28; One Solution
d. h = 11.6; Two Solutions e. h = 7.2; One Solution f. h = 8.2; No Solutions
g. h = 3.4; Two Solutions h. h = 13.89; No Solutions i. h = 8.5; Two Solutions
j. h = 2.27; One Solution k. h = 23.9; One Solution l. h = 6.4; No Solutions
2) a. No Solutions b. No Solutions c. One Solution
d. No Solutions e. One Solution