Only when they are equilateral triangles and regular hexagons that both will have sides of equal lengths.
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Equilateral triangles have 3 sides all of the same lengths and the three angles are equal (60°). Isoceles triangles have two sides of equal length with both of those side angles being equal while the other is different. Scalane triangles have all sides of different lengths and different angles. Right angled triangles have one angle of 90° and the other two will total 90°.
The sum of the squares of the lengths of the two shortest sides is equal to the square of the longest side.
It is Pythagoras' theorem that is applicable to right angle triangles.
It states that the square of the length of the longest side is equal to the sum of the squares of the lengths of the other two sides.
A triangle with side lengths 1, 2, square root(3). A scalene triangle is any triangle whose sides are all of different lengths. It may or may not have a right-angle. Compare with isosceles triangles (2 out of 3 sides are equal in length) and equilateral triangles (all 3 sides are equal in length).