document.write( "Question 173140: Help! My final is on Monday and I can't figure out this word problem. Please write it out step by step so I will be able to do it on the final. Thank you.
\n" ); document.write( "The height of a triangle is 8 centimeters greter than the base. The area of the triangle is 90 square centimeters. Find the length of the base and height of the triangle. Define a variable. Set up a quadratic equation. Solve. Show all work.
\n" ); document.write( " I'm really stuck, I thought I knew it but I've been at it most of the day.
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Algebra.Com's Answer #128007 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let base = \"b\"
\n" ); document.write( "height = \"b+%2B+8\"
\n" ); document.write( "\"90+=+%281%2F2%29%2Ab%2A%28b+%2B+8%29\"
\n" ); document.write( "multiply both sides buy \"2\"
\n" ); document.write( "\"180+=+b%5E2+%2B+8b\"
\n" ); document.write( "Complete the square
\n" ); document.write( "\"b%5E2+%2B+8b+%2B+%288%2F2%29%5E2+=+180+%2B+%288%2F2%29%5E2\"
\n" ); document.write( "\"%28b+%2B+4%29%5E2+=+196\"
\n" ); document.write( "take square root of both sides
\n" ); document.write( "\"b+%2B+4+=+14\"
\n" ); document.write( "\"b+=+10\"
\n" ); document.write( "\"b+%2B+8+=+18\"
\n" ); document.write( "The base is 10 cm and the height is 18 cm
\n" ); document.write( "check:
\n" ); document.write( "\"90+=+%281%2F2%29%2Ab%2Ah\"
\n" ); document.write( "\"90+=+%281%2F2%29%2A10%2A18\"
\n" ); document.write( "\"90+=+180%2F2\"
\n" ); document.write( "\"90+=+90\"
\n" ); document.write( "OK
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