Regents Exam Questions A2.A.75: Law of Sines – The Ambiguous Case 4
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Name: __________________________________
A2.A.75: Law of Sines - The Ambiguous Case: Determine the solution(s) from
the SSA situation (ambiguous case)
1 If
,
1) 1
2) 2
, and
2 If
1) 1
2) 2
, the number of distinct triangles that may be constructed is
3) 3
4) 0
, side
3 If
,
1) 1
2) 2
, and side
, and
4 If
1) 1
2) 2
,
, how many distinct triangles that can be constructed?
3) 3
4) 0
, the number of distinct triangles which can be constructed is
3) 3
4) 0
, and
, the number of triangles that can be constructed is
3) 0
4) an infinite number
5 How many distinct triangles can be formed if
1) 1
2) 2
,
6 How many distinct triangles can be constructed if
1) 1
3) 3
2) 2
4) 0
7 If
1) 1
2) 2
,
8 If
,
1) 1
2) 2
9 If
1) 1
2) 2
, and
, and
,
, and
and
?
3) 3
4) 0
,
, and
?
, the number of distinct triangles that can be constructed is
3) 3
4) 0
, how many distinct triangles can be constructed?
3) 3
4) 0
, how many distinct triangles can be constructed?
3) 3
4) 0
Regents Exam Questions A2.A.75: Law of Sines – The Ambiguous Case 4
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Name: __________________________________
10 If
,
constructed?
1) 1
2) 2
, and
3) 3
4) 0
11 If
,
constructed is
1) 1
2) 2
12 If
,
constructed?
1) 1
2) 2
, what is the number of distinct triangles that can be
, and
, the greatest number of distinct triangles that can be
3) 3
4) 0
and
, what is the total number of distinct triangles that can be
3) 3
4) 0
13 How many distinct triangles can be formed if
1) 1
2) 2
,
3) 3
4) 0
, and
14 What is the maximum number of distinct triangles that can be formed if
?
1) 1
3) 3
2) 2
4) 0
15 If
,
can be constructed?
1) 1
2) 2
16 If
,
be constructed?
1) 1
2) 2
, and
,
, and
, what is the maximum number of distinct triangles that
3) 3
4) 0
, and
, what is the maximum number of distinct triangles that can
3) 3
4) 0
17 How many distinct triangles can be constructed if
1) 1
3) 3
2) 2
4) 0
18 If
, side
can be constructed?
1) 1
2) 2
?
, and side
, side
, and side
?
, what is the maximum number of distinct triangles that
3) 3
4) 0
Regents Exam Questions A2.A.75: Law of Sines –The Ambiguous Case 4
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2
4
1
3
1
2
2
2
2
1
2
4
2
2
4
2
1
4
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