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A triangle that has 2 equal sides is an isosceles triangle
Equilateral triangles have three 60' angles, and the angles of any triangle always add to 180'. Attaching squares to each side of an equilateral triangle would also form three obtuse angles (360' - 90'- 90' - 60' = 120') and the resultant obtuse Isosceles triangles' hypotenuses would be greater in length than any side of the square since its two equal sides are the same length as the square. However, the angles of any corner of the newly formed hexagon would be 90' from the square plus 30' (30' = (180' - 120')/2) from the obtuse triangle, making this hexagon equiangular, but not equilateral. JCS
In a right angle triangle the square of the hypotenuse is equal to height squared plus base squared
It's the longest side. If a and b are the shorter sides, the square root of a squared plus b squared will equal the length of the hypotenuse