SOLUTION: The area of a triangle is 20 square cm. The height is an odd prime number and is shorter than the base. Find the dimensions.
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Question 529739
:
The area of a triangle is 20 square cm. The height is an odd prime number and is shorter than the base. Find the dimensions.
Answer by
solver91311(24713)
(
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):
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The area of a triangle given the base and height is given by:
So in your situation,
,
, and
is an odd prime.
because
, hence
would violate
.
So
or
.
Both valid because you did not restrict
to the integers.
John
My calculator said it, I believe it, that settles it