C.314 Triangles Worksheet
User Manual: C.314
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Triangles Worksheet
Right Triangle Trigonometry
1. Triangle
ABC
is a right triangle with
0 .9C
If
6a
and
10c
, find the six trigonometric
functions of
.A
2. In the right triangle
,ABC
40A
and
12c
centimeters. Find
,a
,b
and
.B
3. The two equal sides of an isosceles triangle are each 24 centimeters. If each of the two equal angels
measures
52
, find the length of the base and the altitude.
4. A man climbs 213 meters up the side of a pyramid and finds that the angle of depression to his starting
point is
52.6
. How high off the ground is he?
The Law of Sines
1. In triangle
ABC
,
30 ,A
70B
, and
8.0a
cm. Find the length of side
.c
2. Find the missing parts of triangle
ABC
if
34B
,
82 ,C
and
5.6a
cm.
The Ambiguous Case
1. Find angle
B
in the triangle
ABC
if
2,a
6,b
and
30 .A
2. Find the missing parts in triangle
ABC
if
54a
cm,
62b
cm and
40 .A
3. Find the missing parts of triangle
ABC
if
35.4C
,
205a
ft and
314c
ft.
The Law of Cosines
1. Find the missing parts of triangle
ABC
if
60A
,
20b
inches and
30c
inches.
2. The diagonals of a parallelogram are 24.2 cm and 35.4 cm, and intersect at an angle of
65.5 .
Find the
length of the shorter side of the parallelogram.
3. Solve triangle
ABC
if
34a
cm,
20b
km, and
18c
km.
