Question 1065631
<pre><b>
{{{drawing(227,227,-1.3,1.3,-.3,2,triangle(-1,0,0,0,0,sqrt(3)),
triangle(-1,0,1,0,0,sqrt(3)), locate(-1,0,B),locate(0,0,N),locate(.97,0,C),
locate(-.02,1.87,A) )}}}{{{matrix(8,1,

BC=AB,
BN=expr(1/2)BC,
2*BN = BC,
2*BN=AB,
AN^2+BN^2=AB^2,
AN^2+BN^2=(2*BN)^2,
AN^2+BN^2=4*BN^2,
AN^2=3BN^2)}}}

Those are the steps. You supply the reasons.

Edwin</pre>