Law of sines and cosines and SOHCAHTOA

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Transcript Law of sines and cosines and SOHCAHTOA

Jeopardy
Right triangles
SOHCAHTOA
Area
Law of sines
Law of cosines
Q $100
Q $100
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Q $200
Q $200
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Q $300
Q $300
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Q $300
Q $400
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Q $400
Q $400
Q $400
Q $500
Q $500
Q $500
Q $500
Q $500
$100 Question from Right
Triangles
Find the
rd
3
angle in the triangle
41o
$100 Answer from Right
Triangles
49o
$200 Question from Right
Triangles
What is the Pythagorean theorem?
$200 Answer from Right
Triangles
A2 + B2 = C2
$300 Question from Right
Triangles
Find the third side of the triangle
4
3
$300 Answer from Right
Triangles
5
$400 Question from Right
Triangles
Find the third side of the triangle
41
9
$400 Answer from Right
Triangles
40
$500 Question from Right
Triangles
What is it called when you multiply
the top and bottom by a radical
because there can’t be a radical
in the denominator?
$500 Answer from Right
Triangles
Rationalize
$100 Question from
SOHCAHTOA
In letters, what is the Sin(x)?
xo
$100 Answer from
SOHCAHTOA
B
C
$200 Question from
SOHCAHTOA
What is the tan(x)
2√17
8
xo
2
$200 Answer from
SOHCAHTOA
4
$300 Question from
SOHCAHTOA
What is the Cos(x)
√41
xo
5
4
$300 Answer from
SOHCAHTOA
5√41
41
$400 Question from
SOHCAHTOA
Find the measure of the angle?
8
4√3
xo
4
$400 Answer from
SOHCAHTOA
X=
o
60
$500 Question from
SOHCAHTOA
Solve the right triangle.
A=
B=
C=
a=
b=4
c= 9
$500 Answer from
SOHCAHTOA
A = 64 a = √65
B = 26 b = 4
C = 90 c = 9
$100 Question from Area
Find the area of the triangle
10
62o
24
$100 Answer from Area
Area = 106
$200 Question from Area
For Heron’s formula, find
s for this triangle
16
12
24
$200 Answer from Area
S = 26
$300 Question from Area
Find the area of the triangle
10
8.3
$300 Answer from Area
Area = 29.3
$400 Question from Area
Use Heron’s formula to find the area
Of the triangle
a = 14 b = 12 c = 4
$400 Answer from Area
Area = 20.1
$500 Question from Area
What information do you need to
find the area of a triangle using
Heron’s formula?
$500 Answer from Area
All 3 sides of the
triangle.
$100 Question from Law of Sines
Solve for a
12
a
96o
41o
$100 Answer from Law of Sines
A = 7.9
$200 Question from Law of Sines
Solve for Co
96o
5
Co
10
$200 Answer from Law of Sines
C = 29.8o
$300 Question from Law of Sines
Solve for b:
A = 44o a = 12
B = 75o
$300 Answer from Law of Sines
B = 16.7
$400 Question from Law of Sines
Solve for B:
A = 102o
B=
a = 32
b = 20
$400 Answer from Law of Sines
B = 38o
$500 Question from Law of Sines
Solve for c:
A = 49o
o
B = 63
C=
a = 22
b=
c=
$500 Answer from Law of Sines
C = 27.0
$100 Question from Law of
Cosines
Find a
4
a
46o
8
$100 Answer from Law of
Cosines
A = 5.96
$200 Question from Law of
Cosines
Find c
32o
8
6
c
$200 Answer from Law of
Cosines
C = 4.31
$300 Question from Law of
Cosines
Find A
9
6
8
$300 Answer from Law of
Cosines
A = 41o
$400 Question from Law of
Cosines
Find A:
a=7
b=8
c= 9
$400 Answer from Law of
Cosines
A = 48o
$500 Question from Law of
Cosines
Solve the triangle
A=
a=6
B=
b=4
o
C = 96
c=
$500 Answer from Law of
Cosines
o
52
A=
o
B = 32
C = 96o
a=6
b=4
c = 7.5