document.write( "Question 401669: The area of a right-angled triangle is 48cm(squared). The base of the triangle is 4cm more than the height. Find the base and height of the triangle. I get confused with this question I know the answers from answer book and trial and error. I try to form into an quadratic equation like : h(h+4)=48cm(squared) but get confused plz help. \n" ); document.write( "
Algebra.Com's Answer #284297 by Earlsdon(6294)\"\" \"About 
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Start with the formula for the area of a triangle:
\n" ); document.write( "\"A+=+%281%2F2%29b%2Ah\" and the area is given a 48 sq.cm., so...
\n" ); document.write( "\"%281%2F2%29b%2Ah+=+48\" but b = h+4, so substitute for b...
\n" ); document.write( "\"%281%2F2%29%28h%2B4%29%2Ah+=+48\" Multiply both sides by 2.
\n" ); document.write( "\"%28h%2B4%29%2Ah+=+96\" which becomes...
\n" ); document.write( "\"h%5E2%2B4h-96+=+0\" So there's the quadratic in h. Solve by factoring.
\n" ); document.write( "\"%28h-8%29%28h%2B12%29+=+0\"
\n" ); document.write( "\"h+=+8\" or \"h+=+-12\" Discard the negative solution.
\n" ); document.write( "The height is 8cm. and the base is h+4 = 12cm.
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