Mathematical Investigations IV
Name:
Mathematical Investigations IV
Trigonometry - Beyond the Right Triangles
From Solving to SAS
Throughout this unit, you will often be asked to “solve” a triangle. This means to determine the
length of each of its three sides and the measures of each of its three angles.
Use your previous knowledge of right triangle trigonometry to solve the following triangles and
find their areas.
F
1. Q
2.
17
58
G
35
S
3.
14
O
R
Given ABC with AC = 22, BC = 48, and mC  47 , sketch ABC and determine its
area.
Trig. 1.1
Rev. S06
Mathematical Investigations IV
Name:
4.
Given ABC , determine its area in terms of a, b, and C.
A
c
B
b
C
a
5.
Rewrite the above formula for the area, K, of ABC in terms of b, c, and A.
6.
Determine the area of UPN .
P
22
47
N
48
U
How does this compare to your answer to problem 3?
7.
A triangular corner lot lies along two streets that intersect at an angle of 75 .
The frontage along one street is 350 feet and along the other is 275 feet.
Find the area of the lot.
Trig. 1.2
Rev. S06