SOLUTION: Is it possible to determine a triangle type if you only know the base and height?

Question 422308: Is it possible to determine a triangle type if you only know the base and height?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Is it possible to determine a triangle type if you only know the base and height?
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No.
Draw an arbitrary base.
Sketch an equal length line sement above and parallel to that base.
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Mark a point on the left, the middle and the right of that parallel line segment.
Sketch the 3 triangles you get using the endpoints of the base and one of those
points on the parallel line segment.
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The base and height are the same for the 3 triangles,
but two are scalene; the other is obtuse; and you could probably pick
a point where the triangle is a right triangle.
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Cheers,
Stan H.
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