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PYTHAGORAS THEOREM : In a Right angled t...

PYTHAGORAS THEOREM : In a Right angled triangle; the square of hypotenuse is equal to the sum of the squares of the other two sides.

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Pythagoras Theorem

In this chapter, we will learn about Pythagoras Theorem. Students will be able to get a clear idea about the proof for Pythagoras Theorem and formula that would be easy to understand.  Being the most fundamental theorems in mathematics, Pythagorean Theorem or Pythagoras Theorem defines the relationship between the three sides of the right-angled triangle.

According to the Pythagoras theorem, “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.” In this case, base, perpendicular and hypotenuse have been termed as the sides of the triangle. It is to be noted that the hypotenuse happens to be the longest side because it is opposite to the 900 angle. The values of a positive integer of the sides of a right-angled triangle are called the Pythagorean triple.

Pythagorean Theorem Formula

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Theorem 6.8 : In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Prove that is a right angle triangle, the square of the hypotenuse is equal the sum of the squares of other two sides.

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(Pythagorass Theorem) Prove by vector method that in a right angled triangle,the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Prove that, in a right-angled triangle, the square of hypotenuse is equal to the sum of the square of remaining two sides.

STATEMENT In a right triangle the square of the hypotenuse equals the sum of the squares of its remaining two sides.

Prove that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Use the above theorem, in the following. If ABC is an equilateral triangle with AD bot BC , then prove that AD^(2) = 3DC^(2) .

In order to prove, 'In a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of remaining two sides (i) Draw a near labelled figure. (ii) Write 'Given' and 'To Prove' from the figure drawn by you.

In aright angled triangle,the square of the hypotenuse is equal to to the sum of squares on the other two sides,prove.Using the above theorem,determine the length of AD in terms of b and c.

In a right-angled triangle,the square of hypotenuse is equal to the sum of the squares of the two sides.Given that /_B of /_ABC is an acute angle and AD perp BC .Prove that AC^(2)=AB^(2)+BC^(2)-2BC.BD