SOLUTION: How many possible triangles for the following: A={{{ 85 }}}°; a={{{ 8 }}}cm; b={{{ 22 }}}cm A.) {{{ 0 }}} B.) {{{ 1 }}} C.) {{{ 2 }}} D.) B & C Is the answer definitely A.)

Algebra ->  Test -> SOLUTION: How many possible triangles for the following: A={{{ 85 }}}°; a={{{ 8 }}}cm; b={{{ 22 }}}cm A.) {{{ 0 }}} B.) {{{ 1 }}} C.) {{{ 2 }}} D.) B & C Is the answer definitely A.)       Log On


   



Question 1068528: How many possible triangles for the following: A=+85+°; a=+8+cm; b=+22+cm
A.) +0+
B.) +1+
C.) +2+
D.) B & C
Is the answer definitely A.) +0+ for this? Or can 1 Acute scalene triangle be created making the answer B?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the law of sines to see what angle B is,
sin%28A%29%2Fa=sin%28B%29%2Fb
If 0%3Csin%28B%29%3C=1, then 1 triangle is possible.
Else no triangle is possible.