SOLUTION: How many attainable triangles are there for: A={{{ 85 }}}°; a={{{ 8 }}}cm; b={{{ 22 }}}cm A.) {{{ 0 }}} B.) {{{ 1 }}} C.) {{{ 2 }}} D.) {{{ B }}} & {{{ C }}}

Algebra ->  Testmodule -> SOLUTION: How many attainable triangles are there for: A={{{ 85 }}}°; a={{{ 8 }}}cm; b={{{ 22 }}}cm A.) {{{ 0 }}} B.) {{{ 1 }}} C.) {{{ 2 }}} D.) {{{ B }}} & {{{ C }}}      Log On


   

Question 1068046: How many attainable triangles are there for: A=+85+°; a=+8+cm; b=+22+cm
A.) +0+
B.) +1+
C.) +2+
D.) +B+ & +C+
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Zero.
Using the law of sines,
sin%28A%29%2Fa=sin%28B%29%2Fb
sin%2885%29%2F8=sin%28B%29%2F22
sin%28B%29=%2822%2F8%29sin%2885%29
sin%28B%29=%2811%2F4%29sin%2885%29
Since sin%2885%29 is close to 1, sin(B) would be out of range for the sine function so this triangle cannot exist,