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Why is the Pythagorean Theorem not just a/b c?
The only way that a+b=c is if a or b were a length of 0, and then it wouldn’t be a triangle, it would just look like a line, or if the angle shown with the arc above were 180 degrees in which case it would just look like a line, and would no longer be a right triangle, so the formula would not be applicable anyway.
What theorem applies to a right triangle and using the formula A 2 B 2 c 2?
The Pythagorean Theorem
The Pythagorean Theorem describes the relationship among the three sides of a right triangle. In any right triangle, the sum of the areas of the squares formed on the legs of the triangle equals the area of the square formed on the hypotenuse: a2 + b2 = c2.
What is the relationship between c 2 and A 2 B 2 in acute triangles?
Given the Pythagorean Theorem, a2 + b2 = c2, then: For an acute triangle, c2< a2 + b2, where c is the side opposite the acute angle. For a right triangle, c2= a2 + b2, where c is the side of the 90-degree angle. For an obtuse triangle, c2> a2 + b2, where c is the side opposite the obtuse angle.
What does the letter c stand for in the formula a2 b2 c2?
Pythagorean Theorem: a2 + b2 = c2. b. NOTE: The side “c” is always the side opposite the right angle. Side “c” is called the hypotenuse.
What is Pythagoras full name?
Pythagoras of Samos
Pythagoras/Full name
Pythagoras of Samos ( Greek: Πυθαγόρας; circa 582 BC – circa 507 BC) was an Ionian ( Greek) mathematician and philosopher, founder of the mathematical, mystic, religious, and scientific society called Pythagoreans. He is best known for the Pythagorean theorem which bears his name.
Where is Pythagoras theorem used?
The Pythagorean Theorem is useful for two-dimensional navigation. You can use it and two lengths to find the shortest distance. … The distances north and west will be the two legs of the triangle, and the shortest line connecting them will be the diagonal. The same principles can be used for air navigation.
How did Pythagoras discover Pythagoras theorem?
The legend tells that Pythagoras was looking at the square tiles of Samos’ palace, waiting to be received by Polycrates, when he noticed that if one divides diagonally one of those squares, it turns out that the two halves are right triangles (whose area is half the area of the tile).
How do you do c2 a2 b2?
The formula is A2 + B2 = C2, this is as simple as one leg of a triangle squared plus another leg of a triangle squared equals the hypotenuse squared.