Explain Pythagoras theorem??
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Answers
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named as Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°. The sides of a right triangle (say a, b and c) which have positive integer values, when squared, are put into an equation, also called a Pythagorean triple.
☛Pythagoras Theorem Formula
Pythagoras
Pythagoras Theorem FormulaConsider the triangle given above:Where “a” is the perpendicular side,“b” is the base,“c” is the hypotenuse side.According to the definition, the Pythagoras Theorem formula is given as:Hypotenuse2 = Perpendicular2 + Base2 c2 = a2 + b2
✏Applications of Pythagoras Theorem
★To know if the triangle is a right-angled triangle or not.
★In a right-angled triangle, we can calculate the length of any side if the other two sides are given.
★To find the diagonal of a square
Answer:
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.
c=√ a² + b² . this is formula
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named as Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.
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