document.write( "Question 1210173: Let P be a point chosen uniformly at random inside triangle ABC. Extend ray BP to hit side AC at D. What is the probability that BD < 4?\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The sides of triangle ABC are 3, 5, and 7. \n" ); document.write( "

Algebra.Com's Answer #851466 by Edwin McCravy(20059) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The figure is drawn to scale. \r\n" );
document.write( "\r\n" );
document.write( "BD' is exactly 4 units. So the point P must be chosen inside triangle \r\n" );
document.write( "ABD' in order for BD to be < 4, as shown in the red part. \r\n" );
document.write( "\r\n" );
document.write( "So we want the probability that point P is chosen inside triangle ABD'. which\r\n" );
document.write( "will be:  \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "I don't have time right now to find the areas of those two triangles. Maybe\r\n" );
document.write( "another tutor will do that.  Otherwise, I'll be back tomorrow.\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "

\n" );