SOLUTION: If a right triangle has an area of 756 square units, what are the possible lengths of the base and height of this right triangle?

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Question 1134486: If a right triangle has an area of 756 square units, what are the possible lengths of the base and height of this right triangle?
Found 3 solutions by stanbon, MathLover1, ikleyn:
Answer by stanbon(75887) About Me  (Show Source):
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If a right triangle has an area of 756 square units, what are the possible lengths of the base and height of this right triangle?
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Formula:: A = (1/2)(base)(height)
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756 = (1/2)(base)(height)
1512 = (base)(height)
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If base = 1, height = 1512
If hase = 2, height = 756
If base = 3, height = 504
etc.
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Cheers,
Stan H.
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Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!


the area of a triangle is one half of base times height:
756+=%281%2F2%29bh
756+%2A2=bh
1512=bh
1512+=+1%2A2%5E3%2A3%5E3%2A7
1%2A2%5E3%2A3%5E3%2A7=bh
so,
b=1 and h=1512
b=1%2A2%5E3%2A3%5E3=216 and h=7
b=1%2A2%5E3=8 and h=7%2A3%5E3=189
b=2%5E3%2A7=56 and h=1%2A3%5E3=27
or vice versa

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.

Possible lengths of the base " b " and height " h " are from zero (from any arbitrary small positive real number) to infinity.

These values "b" and "h" are connected by only one restriction


        %281%2F2%29%2Ab%2Ah = area = 756.