Pythagoras Theorem class 10th
Pythagoras theorem:- In mathematics, the Pythagorean theorem, also known as Pythagoras' 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 2 = b 2 + a 2 b=Perpendicular of right triangle a= Base of right triangle c= hypotenuse of right triangle For Example:- Solution :- Perpendicular of right triangle =b=5 Base of right triangle = a Hypotenuse of right triangle=c= 13 According to formula a 2 = b 2 - c 2 a = √ (b 2 - c 2 ) a = √ (13 2 - 5 2 ) a = √ (169 - 25 ) a = √ (144 ) a = 12 Ans. Theorem 6.8 In a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two side. Given :- A right triangle ABC right angled at A. Prove that: - B C 2 = AB 2 + AC 2 Construct
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