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Class 10 > Learn Mathematics > What is Pythagoras theorem?
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What is Pythagoras theorem?

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Sum of the squares of adjacent side and opposite sides will be equal to square of the hypotenuse in a right angled triangle.
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Pythagoras theorem is a relation between the three sides of a right angle triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides (namely Base and Perpendicular). In A Right angle Triangle ABC Right angled At...
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Pythagoras theorem is a relation between the three sides of a right angle triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides (namely Base and Perpendicular). In A Right angle Triangle ABC Right angled At B the Pythagoras theorem is given by:- (AC)^2 =(AB)^2+(BC)^2.

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the Pythagorean theorem, also known as Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
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In a right angled triangle, the square of hypotenuse is equal to the sum of squares of remaining two sides.
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When a triangle has a right angle (90°) and squares are made on each of the three sides, then the biggest square has the exact same area as the other two squares put together. a2 + b2 = c2 52 + 122 = c2 25 + 144 = c2 169 = c2 c2 = 169 c = 169 c = 13
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The hypotenuse is the side opposite the right angle. Thus the equation hypotenuse square = one side square + other side square is formed. This is valid only in case of a right angled triangle.
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It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides in a right angled triangle.
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Sum of the squares of adjacent side and opposite sides will be equal to square of the hypotenuse in a right angled triangle.
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JEE Foundation and Olympiads Mathematics Faculty

Basically Pythagoras theorem applies to right angled triangle. Pythagoras theorem is a relation between the three sides of a right angle triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides (namely Base and...
read more
Basically Pythagoras theorem applies to right angled triangle. Pythagoras theorem is a relation between the three sides of a right angle triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides (namely Base and Perpendicular). In A Right angle Triangle ABC Right angled At B the Pythagoras theorem is given by:- (AC)^2 =(AB)^2+(BC)^2. Pythagoras Theorem is also Known as Baudhayan Theorem. It can be proved by using Concept of Area of Parallelograms and triangles or can be prove by concept of Similarity of triangles. read less
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In a right triangle the square of hypotenuse is equal to sum of square if other two sides.
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