document.write( "Question 285495: Great white sharks have triangular teeth with a height that is 1 centimeter longer than the base. If the area of one tooth is 15 square centimeters, find its base and height. \n" ); document.write( "

Algebra.Com's Answer #206933 by mananth(16946) $\"\"$ $\"About$

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let the base be x\r
\n" ); document.write( "\n" ); document.write( "The height will be x+1\r
\n" ); document.write( "\n" ); document.write( "Area of triangle = 1/2 * base * height\r
\n" ); document.write( "\n" ); document.write( "=1/2 *x *(x+1)\r
\n" ); document.write( "\n" ); document.write( "1/2 x^2 +1/2*x = 15\r
\n" ); document.write( "\n" ); document.write( "x^2+x=30\r
\n" ); document.write( "\n" ); document.write( "x^+x-30=0\r
\n" ); document.write( "\n" ); document.write( "x^2 +6x-5x-30\r
\n" ); document.write( "\n" ); document.write( "x(x+6)-5(x+6)=0\r
\n" ); document.write( "\n" ); document.write( "(x+6)(x-5)=0\r
\n" ); document.write( "\n" ); document.write( "x=-6 or 5\r
\n" ); document.write( "\n" ); document.write( "It cabt be negative so x= 5 which is the base of the tooth\r
\n" ); document.write( "\n" ); document.write( "height will be 5+1=6 cms.\r
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