Study Online and Download Notes of Mathematics 9th Unit 15: Pythagoras’ Theorem. Pythagoras, a Greek philosopher and mathematician discovered the simple but important relationship between the sides of a right-angled triangle.
Study Online and Download Notes of Mathematics 9th Unit 15: Pythagoras’ Theorem. Pythagoras, a Greek philosopher and mathematician discovered the simple but important relationship between the sides of a right-angled triangle. He formulated this relationship in the form of a theorem called Pythagoras’ Theorem after his name. There are various methods of proving this theorem. We shall prove it by using similar triangles. We shall state and prove its converse also and then apply them to solve different problems.
After studying this unit, the students will be able to:
- prove that in a right-angled triangle, the square of the length of hypotenuse is equal to the sum of the squares of the lengths of the other two sides. (Pythagoras’ theorem).
- prove that if the square of one side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right angled triangle (converse to Pythagoras’ theorem).
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