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Such a triangle would presumably have one right angle, and two acute angles. A right angle

has a measure of 90 degrees; an acute angle has a measure of less than 90 degrees.

Since both of the other two angles in a right triangle must be acute angles, you'd think

at first that every right triangle must be a right acute triangle.

But when you go and look up the definition of an "acute triangle", it turns out to be

a triangle in which all three angles are acute. So the fact is that there's no such thing

as a right acute triangle, because the 90-degree angle in a right triangle is not acute.

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Q: What does a right acute triangle look like?
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