Answer – An acute equilateral triangle is one in which all angles are acute and equal.
Explanation:
In an acute triangle, all three angles measure less than 90°. In other words, they are acute.
In an equilateral triangle, all angles are equal. Since the angles of any triangle always add up to 180°, each one in an equilateral triangle = 180°/3 = 60°.
An acute equilateral triangle is therefore one whose properties combine those of acute and equilateral triangles. Thus, all its angles measure less than 90° and are equal. Such a triangle also has all sides of the same length.
Below is an illustration of an acute equilateral triangle:
All equilateral triangles are acute triangles. Every angle in these always measures 60°, which is an acute angle.
Acute triangles, however, are not always equilateral. They could instead be isosceles (with two sides and two angles equal) or scalene (with all sides unequal).
