Presentation on theme: " The Pythagorean theorem was named for its creator the Greek mathematician, Pythagoras. It is often argued that although named after him, the knowledge."— Presentation transcript:
The Pythagorean theorem was named for its creator the Greek mathematician, Pythagoras. It is often argued that although named after him, the knowledge of this theory predates him. Pythagoras was the thinker who discovered the Pythagorean Theorem in geometry (although none of his actual writings are extant). The theorem states that the sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse. Not much is known about Pythagoras, other than that he was a mathematician and philosopher who founded a community in southern Italy sometime in the 6th century B.C. His followers were extremely secretive and loyal, and held a mystical view of numbers and their relation to nature.
Pythagorean theorem (Noun-Geometry);the theorem that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. The veracious definition of Pythagorean Theorem
In mathematics, the Pythagorean theorem or Pythagoras' theorem is a relation in Euclidean geometry among the three sides of a right triangle (right-angled triangle). In terms of areas, it states: 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). The theorem can be written as an equation relating the lengths of the sides a, b and c, often called the Pythagorean equation: where c represents the length of the hypotenuse, and a and b represent the lengths of the other two sides. The Pythagorean theorem is named after the Greek mathematician Pythagoras, who by tradition is credited with its discovery and proof, although it is often argued that knowledge of the theorem predates him. There is evidence that Babylonian mathematicians understood the formula, although there is little surviving evidence that they fitted it into a mathematical framework. The theorem has numerous proofs, possibly the most of any mathematical theorem. These are very diverse, including both geometric proofs and algebraic proofs, with some dating back thousands of years. The theorem can be generalized in various ways, including higher-dimensional spaces, to spaces that are not Euclidean, to objects that are not right triangles, and indeed, to objects that are not triangles at all, but n-dimensional solids. The Pythagorean theorem has attracted interest outside mathematics as a symbol of mathematical abstruseness, mystique, or intellectual power; popular references in literature, plays, musicals, songs, stamps and cartoons abound.
A baseball diamond is a square with sides of 90 feet. What is the shortest distance, to the nearest tenth of a foot, between home plate and second base? Example Questions Q1 Q2 Q3 Daisy Duck has a nest on the edge of the pond. From her favorite feeding spot, she can either waddle on land around the pond to the nest (80 meters by 60 meters), or she can swim across the pond to the nest. Daisy waddles more quickly than she swims. She waddles at the rate of 30 m/min and she swims at the rate of 20 m/min. Which route is quicker to travel from the feeding spot to the nest? Waddling on land or swimming in the pond? An equilateral triangle is plotted on a coordinate plane. Two of the vertices are (0,0) and (8,0). Which of the coordinates shown could be the vertex of the third side?