Proving, Applying Laws of Sines/Cosines
Geometry · Flashcards · Application
GEOMETRY · FLASHCARDS
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QUESTION
Find
b
b
b
if
A
=
24
A=24
A
=
24
,
a
=
8
a=8
a
=
8
, and
C
=
30
∘
C=30^\circ
C
=
3
0
∘
.
QUESTION
Find
A
A
A
if
a
=
7
a=7
a
=
7
,
b
=
7
b=7
b
=
7
, and
C
=
120
∘
C=120^\circ
C
=
12
0
∘
with
sin
(
120
∘
)
=
3
2
\sin(120^\circ)=\frac{\sqrt{3}}{2}
sin
(
12
0
∘
)
=
2
3
.
QUESTION
Find and correct the error:
A
=
a
b
sin
(
C
)
A=ab\sin(C)
A
=
ab
sin
(
C
)
is used for triangle area.
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ANSWER
Correct:
A
=
1
2
a
b
sin
(
C
)
A=\frac{1}{2}ab\sin(C)
A
=
2
1
ab
sin
(
C
)
. Missing the factor of
1
2
\frac{1}{2}
2
1
in the area formula.
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