document.write( "Question 833846: The legs of an isosceles triangle are 14 inches. The altitude to the base is 10 inches. What is the length of the base? \n" ); document.write( "
Algebra.Com's Answer #502740 by nerdybill(7384)\"\" \"About 
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The legs of an isosceles triangle are 14 inches. The altitude to the base is 10 inches. What is the length of the base?
\n" ); document.write( "The altitude of an isosceles triangle will divide the base in half.
\n" ); document.write( "Let x = length of base
\n" ); document.write( "then applying Pythagorean theorem we have
\n" ); document.write( "(x/2)^2 + 10^2 = 14^2
\n" ); document.write( "x^2/4 + 100 = 196
\n" ); document.write( "x^2/4 = 96
\n" ); document.write( "x^2 = 384
\n" ); document.write( "\"x+=+sqrt%28384%29\"
\n" ); document.write( "\"x+=+sqrt%288%2A8%2A6%29\"
\n" ); document.write( "\"x+=+8sqrt%286%29\" exact value
\n" ); document.write( "or approximately:
\n" ); document.write( "x = 19.60 inches\r
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