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MYou just described an equilateral triangle which is in fact isosceles and acute, and additional any isosceles triangle with a vertex angle of less than 90 is acute as the base angles are congruent and all three angles must add to180
Yes, because an equilateral triangle is always acute.
Yes. Every triangle with an obtuse angle must have two acute angles.
Yes. The other two angles will be 45 degrees.
Most people, when asked to draw a triangle, would probably draw an acute or maybe a right triangle.