The hypotenuse is the longest side. In a right-angled triangle, the hypotenuse is always opposite the right angle.
a2+b2=c2Where c is the hypotenuse. a and b are the other two sides.
Pythagoras contribution to geometry was the Pythagorean theorem, which states the square of the hypotenuse equals the sum of the squares of the other two sides of the triangle.
He came up with the infamous Pythagoras' Theorem, which states that the square of the hypotenuse of a right angled triangle is equal to the sum of the squares of the other two sides: a2 = b2 + c2 ; where a is the hypotenuse.
Pythagoras' theorem
Pythagoras' Theorem is how to work out the lengths of the sides of a right angled triangle. a2 + b2 = c2. In other words, the square of the hypotenuse (longest side) equals the square of the two other sides added together.
Pythagoras is famous for the discovery of the geometrical Pythagorean theorem . the theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides in a right angled triangle, (a2 + b2 = c2).
The Pythagoras theorem states that the square of the Hypotenuse of an isosilees triangle if equal to the sum of the squares of the other two sides
Pythagoras is, of course, best remembered for the Pythagorean Theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sums of the squares of the other two sides.
See the prof of Pythagoras's theorem in any textbook on elementary geometry.
In a right triangle Pythagoras (a Greek) discovered that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Pythagoras's theorem, that in a right angled triangle, a2 + b2 = c2 where c is the hypotenuse and a and b are the other two sides is easy to state and its proof has been known for centuries. Fermat's last theorem is analogous but opposite, and is equally easy to state: For any index (power) greater than 2, the analogy of Pythagoras's theorem has no integer solution (other than trivial ones eg a = 0 or b = 0).
In a right triangle, square the lengths of the other two sides and add them together. The length of the hypotenuse will be the positive square root of that number.