In any right triangle, the sum of the square of the two perpendicular sides is equal to the square of the longest side. For a right triangle with legs measures and and length of hypotenuse , the theorem can be expressed in the form
Proved by Pythagoras
Area of the large square = Area of four triangles + Area of small square
Proved by Bhaskara
Bhaskara (1114 - 1185) was an Indian mathematician and astronomer.
Area of the large square = Area of four triangles + Area of inner (smaller) square
Proved by U.S. Pres. James Garfield
Area of trapezoid = Area of 3 triangles