To which of these triangles is the Pythagoras Theorem applicable?

A scalene triangle

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An acute-angled triangle

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A right-angled triangle

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An obtuse-angled triangle

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Solution

The correct option is C A right-angled triangle
The Pythagoras theorem is only applicable to right angle triangles. The theorem was derived using a right angle triangle to complete a square and proceed to obtain the relation between the sides of the square and its diagonal. The Pythagorean theorem states that the square of the hypotenuse is equal to the sum of the square of the other two sides in a right angle triangle.

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