document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=407097>Question 407097</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the proof for Theorem 7.4: If the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed are similar to the original triangle and to each other </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #287040 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=287040\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Just do some angle chasing:\r<BR>\n" );
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document.write( "Letting angle BAD = alpha, it follows that angle ABD = 90 - alpha. Since angle ABC is right, angle CBD = alpha, and angle DCB = 90 - alpha. You can show by angle-angle-angle similarity that all three triangles are similar.<BR>\n" );
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