Question 1074104
<pre>
At first I thought the answer was 4 such isosceles triangles.  
And I drew them to scale below.  But then I looked again and
noticed the words "exactly one side that measures 12 centimeters"
So I had to cross out the first and third triangles because they
have two sides equal to 12 centimeters. So the answer is 2. 

{{{cross(drawing(128,200,-8,8,-1,24,
locate(-4,6,12),locate(-2.3,1.8,"75°"),
triangle(-6.211657082/2,0,0,11.59110992,6.211657082/2,0)))}}}{{{drawing(128,200,-8,8,-1,24,
locate(0,1.8,12),locate(-5,2.3,"75°"),
triangle(-6,0,6,0,0,22.39230484))}}}{{{cross(drawing(128,200,-8,8,-1,24,
locate(-5.5,6,12),locate(-1.3,7.5,"75°"),
triangle(-13.6010275/2,0,0,9.520240083,13.6010275/2,0)))}}}{{{drawing(128,200,-8,8,-1,24,
locate(0,1.8,12),locate(-1.3,6,"75°"),
triangle(-6,0,0,7.819352237,6,0))}}}

Edwin</pre>