SOLVING RIGHT TRIANGLES

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SOLVING RIGHT TRIANGLES
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OBJECTIVES1. identify right triangles
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2. Define the ratio of the trigonometric
functions in terms of the sides of a right
triangle ABC.
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3. Formulate two equations, using reciprocal
functions, to find the measure of one side of a
given right triangle.
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4. Solve right triangles given the measures of
one angle and one side using scientific
calculator.
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5. Show attentiveness to details.
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How will you solve for the measure of the third
angle of a right ? given the measure of one angle?
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B
C

• 180? (90? 70?)
• 180? - 160?
• 20?

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? 180? (90? 51?)? 180? - 141?? 39?
A
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How will you solve for the measure of one side of
a right ? given the measures of two sides?
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A
c 13
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A
a
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y - axis
B
opposite side of ?
hypotenuse
a
c
y
r
?
b
x - axis
x
A
C
adjacent side of ?
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SOH CAH TOA
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Given right? ABC, solve for the measure ?B. Find
two equations that can be used to find the
measure of side a
?B 180? (90? 25?)
?B 65?
or
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To solve for the measure of side a using
scientific calculator
?
Press 32 then tan then 25 (round off to the
nearest hundredths)
14.92
or
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?
Press 32 ? (tan 25 ) x-1 then (round off to
the nearest hundredths)
14.92
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Find two equations that can be used to solve for
side c.
35.31
or
Press 32 ? cos 25
35.31
Press 32 (cos 25 ) x-1
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Given right triangle ABC
Solve for the measure of ?A. Give the equations
that can be used to solve for the measures of
sides a and c. Then solve for the measures using
scientific calculator.
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1. Formulate equations to find the measures of
the two acute angles of a given right triangle.
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2.To solve right triangles given the measures of
two sides.
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3. Show attentiveness to details.
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B
Solve for the measures of side c, angle A and
angle B.
36.19
C
A
24.78
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c 43.86
A 55. 600
B 34. 400
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Solve right ?ABC if ?C 90?, c 7.25,
and b 4.37
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a 5.78
A 52. 930
B 37. 070
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Assignment 1-15 on Worksheet
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Homework

• 1-20 on worksheet

• Unit Circle Learning Task