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 C  90. If a  6 and c  10 , find the six trigonometric
functions of A.

2. In the right triangle ABC , A  40 and c  12 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 , A  30 , B  70 , and a  8.0 cm. Find the length of side c.

2. Find the missing parts of triangle ABC if B  34 , C  82 , and a  5.6 cm.

The Ambiguous Case
1. Find angle B in the triangle ABC if a  2, b  6, and A  30.

2. Find the missing parts in triangle ABC if a  54 cm, b  62 cm and A  40.

3. Find the missing parts of triangle ABC if C  35.4  , a  205 ft and c  314 ft.

The Law of Cosines
1. Find the missing parts of triangle ABC if A  60 , b  20 inches and c  30 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 a  34 cm, b  20 km, and c  18 km.
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Author                          : Catherine
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Create Date                     : 2012:05:27 22:33:40-04:00
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Producer                        : Microsoft® Office Word 2007
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