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Law of Sines Ambiguous Case 2



 1 

In mc001-1.jpg, if mc001-2.jpg, mc001-3.jpg, and mc001-4.jpg, angle C could be
a)
an obtuse angle, only
c)
a right angle, only
b)
an acute angle, only
d)
either an obtuse angle or an acute angle
 

 2 

In mc002-1.jpg, mc002-2.jpg, mc002-3.jpg, and mc002-4.jpg.  Which type of angle is mc002-5.jpg?
a)
It must be an acute angle.
b)
It must be a right angle.
c)
It must be an obtuse angle.
d)
It may be either an acute angle or an obtuse angle.
 

 3 

If side mc003-1.jpg, side mc003-2.jpg, and mc003-3.jpg, how many distinct triangles can be constructed?
a)
one acute triangle, only
c)
one obtuse triangle, only
b)
two triangles
d)
no triangles
 

 4 

Which statement best describes a triangle that can be constructed if mc004-1.jpg, mc004-2.jpg, and mc004-3.jpg?
a)
It is a right triangle.
c)
It is not unique.
b)
It is an obtuse triangle.
d)
It cannot be constructed.
 

 5 

In mc005-1.jpg, mc005-2.jpg, mc005-3.jpg, and mc005-4.jpg.  The measure of mc005-5.jpg?
a)
must be between 0° and 90°
b)
must equal 90°
c)
must be between 90° and 180°
d)
is ambiguous
 

 6 

If mc006-1.jpg, mc006-2.jpg, and mc006-3.jpg, how many different triangles can be constructed?
a)
No triangles can be constructed.
c)
one right triangle, only
b)
two triangles
d)
one obtuse triangle, only
 

 7 

If mc007-1.jpg, mc007-2.jpg and mc007-3.jpg, it is possible to construct
a)
an obtuse triangle
c)
no triangles
b)
two distinct triangles
d)
a right triangle
 

 8 

If mc008-1.jpg, mc008-2.jpg, and mc008-3.jpg, then which type of triangle, if any, can be constructed?
a)
a right triangle, only
c)
an obtuse triangle, only
b)
an acute triangle, only
d)
no triangle
 

 9 

Given mc009-1.jpg with mc009-2.jpg, mc009-3.jpg, and mc009-4.jpg, what type of triangle can be drawn?
a)
an acute triangle, only
c)
both an acute triangle and an obtuse triangle
b)
an obtuse triangle, only
d)
neither an acute triangle nor an obtuse triangle
 

 10 

Main Street and Central Avenue intersect, making an angle measuring 34°.  Angela lives at the intersection of the two roads, and Caitlin lives on Central Avenue 10 miles from the intersection.  If Leticia lives 7 miles from Caitlin, which conclusion is valid?
a)
Leticia cannot live on Main Street.
b)
Leticia can live at only one location on Main Street.
c)
Leticia can live at one of two locations on Main Street.
d)
Leticia can live at one of three locations on Main Street.
 

 11 

In mc011-1.jpg, mc011-2.jpg and mc011-3.jpg.  Two distinct triangles can be constructed if the measure of angle M is
a)
35
c)
45
b)
40
d)
50
 



 
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