Trig., Calculus.
Pythagoras and Euclid are both mathematicians. Pythogoras has commonly been given credit for discovering the Pythagorean theorem, a theorem in geometry that states that in a right-angled triangle the area of the square on the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares of the other two sides-that is, . Euclid is in charge of dicovering Pythagorean Triples, Euclidean geometry and more geometry realated things. Euclid also wrote a book called "Elements" in support of his math.
The Pythagorean Theorem is a statement about triangles containing a right angle. The Pythagorean Theorem states that:"The area of the square built upon the hypotenuse of a right triangle is equal to the sum of the areas of the squares upon the remaining sides."
The square of the hypotenuse of right triangle is equal to the sum of the squares of the two adjacent sides.
The Pythagorean theorem was, oddly enough, first postulated by a Greek named Pythagoras of Samos, in the 6th century BC or so. It basically described the relationship among the three sides of a triangle and the areas of the same. There is some thought that Babylonian mathematicians well before the time of Pythagoras knew of the relationship, but he's the guy who got his name on the theorem.
It finds the third side of the right triangle when the two sides are available. That helps to figure out the circumference of the triangle, it also helps find the length of the diagonal of the square or a rectangle. It helps finding areas and circumpherences of polygons, it helps with construction of polygons, etc... Generally it is one of the most basic and fundamental theorems.
Pythagoras' theorem states that for any right angle triangle the square of its hypotenuse is equal to the squares of its 2 sides:- a2+b2 = c2 whereas a and b are the sides of the triangle with c being its hypotenuse or longest side
In a right-angled triangle the area of the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares of the other two sides.
The sum of the areas of the two squares on the legs of a triangle (a and b), where the angle between sides a and b is 90 degrees, equals the area of the square on the hypotenuse (c). a2 + b2 = c2
Since the fourth century AD, Pythagoras has commonly been given credit for discovering the Pythagorean theorem, a theorem in geometry that states that in a right-angled triangle the area of the square on the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares of the other two sides.He made up the formula to find A, B, or C in a triangle.Pythagoras Method =A squared + B squared = C squareda^2 + b^2 = c^2orA*A + B*B = C*C
In any right triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle).
geometry
The Pythagorean theorem can be done this way. a²+b²=c² lets say that you have a triangle with three sides, but you are only given two. Their values are 3 and 4. Now you have to fill in the values with a=3 and b=4 (doesn't matter which order you put it in) 3²+4²=c² c is still unknown so we have to do the next step. 3² is 9 and 4² is 16. knowing this, we have to do this next: 9+16=c² 9+16 is 25. 25=c² now you must get rid of the ². you do this by using the square root. don't ask me why you square root, that's just how the Pythagorean theorem works. √25=√c² the square root gets rid of the c squared so its just the square root of 25. 5=c triangle sides: 3,4,5 The process can also be reversed. a²=c²-b² or b²=c²-a² P.S: Please recommend using button below, thank you. James A. Garfield, the twentieth president of the United States, discovered an original proof of the Pythagorean theorem. The proof is algebraic in nature and uses the formula for the area of a trapezoid. See the link below for details. Garfield is credited with an original proof of this famous theorem. Many of the presidents undoubtedly proved it in geometry class after studying their books.