PreCalculus
posted by DW .
Determine the number of triangles that can be formed with the given information.
and if it forms two possible triangles solve all unknown angles and sides
Angle A=116 degrees
a=10
b=11

One.
Assuming you are using the standard notoation that
b is the side opposite angle B etc.
sinB/11 = sin116°/10
sin B = .9886
angle B = appr 81.4° or appr 98.6°
but the latter is not possible since a triangle cannot have 2 obtuse angles
so B = 81.4° is the only angle possible,
thus only one triangle.
I will leave it up to you to find the other angle and side. 
but if you add 81.4 (measure of angle B) plus 116 (measure of angle A) you get 197.368 which is over 180 degrees....
so that would make measure of angle C negative which is why I'm confused 
Of course you are right, silly of me not to even check for the obvious.
I was too concerned about the two obtuse angles.
c
so....
No such triangle is possible. 
thank you so much!!!
Respond to this Question
Similar Questions

Math Question
Which one of the following pairs of triangle must be similar? 
Math  Geometry
Two right triangles are touching at the tips. The left triangle has the 90 degree angle to the bottom left, and 33 degrees on the bottom right. Based on this info, the other angle is 57 degrees. The right triangle has the right angle … 
PreCalculus
Determine the number of triangles that can be formed with the given information. a=1, b=5, c=4 
PreCalculus
Determine the number of triangles that can be formed with the given information. a=1, b=5, c=4 
PreCalculus
Determine the number of triangles that can be formed with the given information. a=1, b=5, c=4 
PreCalculus
Determine the number of triangles that can be formed with the given information. a=1, b=5, c=4 
PreCalculus follow up question Reiny
Determine the number of triangles that can be formed with the given information. and if it forms two possible triangles solve all unknown angles and sides Angle A=116 degrees a=10 b=11 but if you add 81.4 (measure of angle B) plus … 
math
This can be proven by using congruent triangles. Because ACX=YCB are two adjacent angles, one angle is <ACB and the other being an angle that forms an equilateral triangle (which is 60 degrees), it means that ACX=<YCB=<ACB+60. … 
math
Determine whether it is possible to draw a triangle given each set of information. Sketch all possible triangles where appropriate. Calculate then label all side lengths to the nearest tenth of a centimetre and all angles to the nearest … 
Math
Determine whether it is possible to draw a triangle given each set of information. Sketch all possible triangles where appropriate. Calculate then label all side lengths to the nearest tenth of a centimetre and all angles to the nearest …