pre-cal 30s october 6th, 2008
TRANSCRIPT
Ambiguity
From the Compact Oxford English Dictionary:
• noun (pl. ambiguities) uncertain or inexact meaning.
But first ... a review of triangles.
Solving right triangles:
Solving triangles using the Sine Law:
Solving triangles using the Cosine Law:
The ambiguous case triangle - when the given angle is opposite the shorter of the two given sides, there may be ambiguity.
For example: how many triangles ∆ABC can we draw where ÐC = 100
0, b = 10 and
c = 8?
How many triangles ∆ABC can we draw where ÐC = 30
0, b = 10 and c = 4?
How many triangles ∆ABC can we draw where ÐC = 30
0, b = 10 and c = 5?
How many triangles ∆ABC can we draw where ÐC = 30
0, b = 10 and c = 12?
Practice:
Exercise 10, p. 22, Questions 2 - 6.
Homework:
Exercise 10, Question 1.Exercise 11, Questions 1 and 2.
Pretest tomorrowTest on WednesdayStart next unit (Algebra) on Thursday!