document.write( "Question 1180833: The sides of a triangle are 70cm, 80cm, and 90 cm. Compute the length of the altitude to the 80-cm side. \n" ); document.write( "
Algebra.Com's Answer #810655 by josgarithmetic(39617)\"\" \"About 
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The altitude forms two right triangles.\r
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\n" ); document.write( "\n" ); document.write( "The 80 cm base is in parts x and 80-x.\r
\n" ); document.write( "\n" ); document.write( "One of the right triangles is sides y, 70, and 80-x; y for the altitude.\r
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\n" ); document.write( "\n" ); document.write( "\"system%28x%5E2%2By%5E2=90%5E2%2C%2880-x%29%5E2%2By%5E2=70%5E2%29\"\r
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\n" ); document.write( "\"-160x=70%5E2-80%5E2-90%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"x=60\"\r
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\n" ); document.write( "\n" ); document.write( "\"y%5E2=90%5E2-x%5E2\"
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\n" ); document.write( "\"highlight%28y=30%2Asqrt%285%29%29\"
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