SOLUTION: The base of a triangle exceeds the height by 4 inches. The area of the triangle is 30 square inches. Find the height of the triangle.

Question 437046: The base of a triangle exceeds the height by 4 inches. The area of the triangle is 30 square inches. Find the height of the triangle.
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
The base of a triangle exceeds the height by 4 inches.

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The area of the triangle is 30 square inches.

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Substitute for b = h+4

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Multiply both sides by 2 to eliminate the 1/2.

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Multiply through the left side

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Subtract 60 from both sides

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Factor the quadratic equation

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So h = -10 or h = 6
But a negative value for the height is nonsensical
So

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Recall

That means that

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Always check your work!

That checks.
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Review the question to be sure you answer it.
Answer: The height of the triangle is 6 inches.
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Done.
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