SOLUTION: The area of the triangle is 36 square inches. The base is half the height. Find the height and base of the triangle.

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Question 478889: The area of the triangle is 36 square inches. The base is half the height. Find the height and base of the triangle.
Found 2 solutions by ewatrrr, stanbon:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

The base is half the height

Let x and 2x represent the base and the height

Question states***

  A = 36in^2 = (1/2)x(2x)

      36in^2 = x^2

       6in = x, the base. (tossing out negative solution for # of inches)

 Length is 12in.   (2*6in)



CHECKING our Answer***

 (1/2)6in*12in = 36in^2

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The area of the triangle is 36 square inches. The base is half the height. Find the height and base of the triangle.
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Let height = 2x inches
Then base = x inches
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Area = (1/2)(base)(height)
36 = (1/2)x(2x)
36 = x^2
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x = 6 inches (base)
2x = 12 inches (height)
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Cheers,
Stan H.
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