document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=224258>Question 224258</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What are the dimensions of a right angle that is similar to the 3-4-5 rightangled triangle and that has an area four times as large?\r<BR>\n" );
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document.write( "a. 4-5-7<BR>\n" );
document.write( "b. 4-12-13<BR>\n" );
document.write( "c. 6-8-10<BR>\n" );
document.write( "d. 9-12-15<BR>\n" );
document.write( "e. 12-16-20 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #167564 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=167564\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "A triangle similar to a 3-4-5 triangle would have a ratio that is consistent with a 3-4-5 triangle. In other words, if 1 side of the new triangle is doubled, then the other sides of the new triangle should also be doubled. Furthermore, when the area of the larger of 2 similar triangles is quadrupled, its sides were obviously doubled. \r<BR>\n" );
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document.write( "The only choice that fits these criteria is CHOICE C. As seen, each of its sides was doubled (2*3=6, 2*4=8, 2*5=10) to form a 6-8-10 triangle. \r<BR>\n" );
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document.write( "Now, just to make sure we have the correct choice, we can calculate each area to see if the new and similar 6-8-10 triangle has an area that is 4 times the original 3-4-5 triangle.\r<BR>\n" );
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document.write( "Area of 3-4-5 triangle: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2AB%2AH+=+%281%2F2%29%2A4%2A3+=+6 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2AB%2AH+=+%281%2F2%29%2A4%2A3+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" > square units\r<BR>\n" );
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document.write( "Area of 6-8-10 triangle: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2AB%2AH+=+%281%2F2%29%2A8%2A6+=+24 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2AB%2AH+=+%281%2F2%29%2A8%2A6+=+24\"   DISABLED_style= \"max-width:90%; height:auto;\" > square units\r<BR>\n" );
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document.write( "It is quite obvious that the 6-8-10 similar triangle's area of 24 square units is 4 times the area of the 3-4-5 similar triangle's area of 6 (24 = 4 * 6)\r<BR>\n" );
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document.write( "Therefore, the correct answer is CHOICE <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28c%29 ALIGN=MIDDLE  ALT=\"highlight_green%28c%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
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