SOLUTION: 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

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
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = height
y = base
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a = xy/2
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x = y - 11
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138 = (y - 11)b/2
138*2 = yy - 11y
yy - 11y - 138*2 = 0
yy - 11y - 276 = 0
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the above quadratic equation is in standard form, with a=1, b=-11, and c=-276
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 -11 -276
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
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the quadratic has two real roots at:
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y = 23
y = -12
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the negative root doesn't fit the problem statement, so use the positive root:
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answer:
y = base = 23 inches
x = height = 12 inches
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Solve quadratic equations, quadratic formula:
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Solve systems of linear equations up to 6-equations 6-variables:
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