Image caption, All three sides of an equilateral triangle are the same length. The word equilateral means equal lines. Each angle is the same size. Each angle is 60°. Image caption, An ...

Pythagoras came to believe that the same relationship would hold when the legs have unequal lengths ... four copies of a right triangle whose hypotenuse equals the side of the center square ...

Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles ... in the above example is taken as length of the opposite leg to the angle of ...

Each triple is the lengths of the three sides of a right-angled triangle, where each side is a whole number. The simplest example is (3, 4, 5); others include (5, 12, 13) and (8, 15, 17).

Our new research, published in Historia Mathematica, shows that the Babylonians were able to construct a trigonometric table using only the exact ratios of sides of a right-angled triangle.

To investigate whether the lengths of the three sides of each triangular object ... The majority of the objects turned out to have an equilateral-triangle shape (Supplementary Fig.