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Question

Which of the following is the assumption taken in the converse of Pythagorean theorem?


A
Square of the longest side of the triangle = square of sum of other two sides
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B
square of the longest side of the triangle = sum of squares of other two sides
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C
Square of the longest side of the triangle = difference of squares of other two sides
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D
square of the longest side of the triangle = square of difference of other two sides
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Solution

The correct option is B square of the longest side of the triangle = sum of squares of other two sides
The converse of Pythagoras' theorem states that:
If the square of the longest side of the triangle is equal to the sum of the squares of the other two sides, then the triangle is right-angled.

Mathematics

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