Question

1) Information about Pythagoras theorem.., definition, Formula
2) Rules of Pythagoras theorem.
3) Examples of Pythagoras theorem..
4) Use of Pythagoras theorem..
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Answer 1

Answer:

2)The Rule is the square of hypotenuse is always equal to the sum of squares of height and base

Answer 2

Answer:

1. In mathematics, the Pythagorean theorem, or Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

2. Pythagoras' theorem states that for all right-angled triangles, 'The square on the hypotenuse is equal to the sum of the squares on the other two sides'. The hypotenuse is the longest side and it's always opposite the right angle. In this triangle a 2 = b 2 + c 2 and angle is a right angle.

3. 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 the 90-degree angle. For an obtuse triangle, c2> a2 + b2, where c is the side opposite the obtuse angle.

4. 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.

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