Right Triangles

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Right Triangles

• Danelle Butler
• Jared Jackman
• Jay Dee Haidenthaller
• John Pope

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Introduction

• We are going to explain how to use the
  Pythagorean theorem and the three trigonometric
  functions to solve right triangles.

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Pythagorean Theorem

• a2b2c2
• b

c a
?
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Example 1

• 3

3242c2 916c2 25c2 5c
c 4
?
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3 Trig. Functions
opposite hypotenuse

• Sin
• Cosine
• Tangent

adjacent hypotenuse
adjacent hypotenuse
SOHCAHTOA
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Find The Sin,tangent,cosine

• Sin
• Cosine
• Tangent

Reduced
12
9
3

12
4
9
a
7
?
12
7
9
7
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Solving a Right Triangle

• Using Sin

Problem Solve ABC ?B 66º, b 7
Sin 66
opposite hypotenuse
?
A
b c
c
Sin B
b
B
7 c
?
a
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Solving a Right Triangle

• Using Cosine

Problem Solve ABC ?A 24º, b 8
Cos 24
adjacent hypotenuse
?
A
c
b c
Cos A
b
B
8 c
?
a
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Solving a Right Triangle

• Using Tangent

Problem Solve ABC ?A 24º, b 8
Tan 24
adjacent hypotenuse
?
A
a b
c
Tan A
b
B
8 b
?
a
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Summary

• We explained how to use the Pythagorean
  theorem. What Sin Cosine and Tangent are and how
  to use these three trigonometric functions to
  solve right triangles.

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Bibliography

• Larson, Ron, and Boswell, Kanold, Stiff.
• Algebra 2. Evanston,IL
• McDougal Littell , 2001.

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