document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1114382>Question 1114382</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the altitude drawn to the hypotenuse of a right triangle divides the hypotenuse so that<BR>\n" );
document.write( "a) h is the geometric mean of x and y,<BR>\n" );
document.write( "b) a is the geometric mean of x and c, and<BR>\n" );
document.write( "c) b is the geometric mean of y and c<BR>\n" );
document.write( "Use this theorem to calculate lengths h, a, and b if x=144 and y = 25.<BR>\n" );
document.write( "solve using geometric sequence </SPAN>\n" );
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document.write( "Although you don't define the variables, it seems obvious from the statement of the problem that x and y are the two segments of the hypotenuse c, and h is the altitude to side c.<br><BR>\n" );
document.write( "x = 144 = 12^2; y = 25 = 5^2; so h is 12*5 = 60.<br><BR>\n" );
document.write( "So the original triangle and both of the small triangles formed by the altitude are scale models of a 5-12-13 right triangle.<br><BR>\n" );
document.write( "That makes a and b 65 and 156; from the given description of the problem, we don't know which is which.... </SPAN>\n" );
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