Chapter 9 Right Triangles and Trigonometry

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Chapter 9Right Triangles and Trigonometry

• Section 9.6
• Solving Right Triangles

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To Solve A Right Triangle Determine the measure
of all three angles and the length of all three
sides.

• Three Angles
• ?A, ?B, ?C
• Three Sides
• a, b, c

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Example 1 Given 1 Side and 1 Angle Example
2 Given 2 Sides Example 3 Solving Real Life
Problems Homework
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10.4
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30.3
?X ?Y are Complements m?X m?Y 90 71 m?Y
90 m?Y 19
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Find AB, AC, m?A
m?A m?C 90 m?A 52 90 m?A 38
AB ? 24.319
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m?N 55
MN ? 5.162
LM ? 7.372
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m?A m?B 90 m?A 33.69 90 m?A ? 67.38
? 22.62
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Use the Pythagorean theorem to find XZ (XZ)2
142 252 (XZ)2 196 225 (XZ)2 29
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Need to find ?X
m?X m?Y 90 34.06 m?Y 90 m?Y ? 55.94
m?X ? 34.06
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Make a drawing.
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Since QR is 25 feet and RS is 5 feet 6 inches or
5.5 feet, QS is 30.5 feet. Let x represent PQ.
Multiply both sides by x.
Simplify.
Answer The audience member is about 60 feet
from the base of the platform.
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Mulitply each side by 3.
Simplify.
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Answer The roller coaster car was about 285
feet above the ground.
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HW 29Pg 570 11-39 Odd