document.write( "Question 924872: The height of a triangle is 11 inches less than its base. The area of the triangle is 138 square inches. Find the dimensions of the triangle \n" ); document.write( "
Algebra.Com's Answer #561181 by TimothyLamb(4379)\"\" \"About 
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x = height
\n" ); document.write( "y = base
\n" ); document.write( "---
\n" ); document.write( "a = xy/2
\n" ); document.write( "---
\n" ); document.write( "x = y - 11
\n" ); document.write( "---
\n" ); document.write( "138 = (y - 11)b/2
\n" ); document.write( "138*2 = yy - 11y
\n" ); document.write( "yy - 11y - 138*2 = 0
\n" ); document.write( "yy - 11y - 276 = 0
\n" ); document.write( "---
\n" ); document.write( "the above quadratic equation is in standard form, with a=1, b=-11, and c=-276
\n" ); document.write( "---
\n" ); document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this:
\n" ); document.write( "1 -11 -276
\n" ); document.write( "into this solver: https://sooeet.com/math/quadratic-equation-solver.php
\n" ); document.write( "---
\n" ); document.write( "the quadratic has two real roots at:
\n" ); document.write( "---
\n" ); document.write( "y = 23
\n" ); document.write( "y = -12
\n" ); document.write( "---
\n" ); document.write( "the negative root doesn't fit the problem statement, so use the positive root:
\n" ); document.write( "---
\n" ); document.write( "answer:
\n" ); document.write( "y = base = 23 inches
\n" ); document.write( "x = height = 12 inches
\n" ); document.write( "---
\n" ); document.write( "Solve and graph linear equations:
\n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php
\n" ); document.write( "---
\n" ); document.write( "Solve quadratic equations, quadratic formula:
\n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php
\n" ); document.write( "---
\n" ); document.write( "Solve systems of linear equations up to 6-equations 6-variables:
\n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php
\n" ); document.write( "
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