SOLUTION: If a triangle has side lengths that are 67 in, 84 in and 93 in, what type of triangle is it?

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Question 1068292: If a triangle has side lengths that are 67 in, 84 in and 93 in, what type of triangle is it?

Found 2 solutions by ikleyn, KMST:
Answer by ikleyn(52748) About Me  (Show Source):
You can put this solution on YOUR website!
.
Take the sum of squares of the lengths of two shortest sides and compare with the square of the longest side.


Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
67%5E2%2B84%5E3=4489%2B7056=12545%3E8649=93%5E2
The longest side is too short
to be the hypotenuse of a right triangle
with legs as long a the two shorter sides.
Therefore, the largest angle
(the one opposite the longest side)
is smaller than a right angle.
That largest angle is acute,
and so are the other two smaller angles.
The triangle is an highlight%28acute%29 triangle.