Yes, and it is a triangle with one 90-degree angle and two acute angles.
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If a triangle has a right angle, it is a right triangle.
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.
yes it is it is a triangle with a right angle in it
That would be a right triangle. Any triangle that has a right angle in it is a right triangle.
No, if a Triangle has a right angle it is automatically called a right triangle.