SOLUTION: In a triangle, the height is 1 inch longer than twice its base. If the area of the triangle is 39 Sq inch, then how long is the base and what is its height?

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Question 207889: In a triangle, the height is 1 inch longer than twice its base. If the area of the triangle is 39 Sq inch, then how long is the base and what is its height?
Answer by Alan3354(69443) About Me  (Show Source):
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In a triangle, the height is 1 inch longer than twice its base. If the area of the triangle is 39 Sq inch, then how long is the base and what is its height?
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Area = bh/2 = 39
bh = 78
b*(2b+1) = 78
2b^2 + b - 78 = 0
(2b + 13)*(b - 6) = 0
b = 6
h = 13