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No, a right angled triangle cannot have three acute angles because an acute angle is less than 90 degrees and a right angled triangle has one angle of exactly 90 degrees (which is what right angled means, equal to 90 degrees).

Also, because the triangle has a right angle (of 90 degrees) it cannot have three equal sides; it can have two equal sides but the side opposite to the right angle (the hypotenuse) will always be longer than either of the other two sides.

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Q: Can a right triangle have three acute angles and three equal sides?
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