State true or false: The converse of Pythagoras Theorem is valid.

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True

False

answer is A.

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Detailed Solution

It is given that, “The converse of Pythagoras Theorem is valid.”
Let us use the distance formula

x 2 − x 1 2 − y 2 − y 1 2

.
The converse of Pythagoras theorem.
Statement: In a triangle, if the square of one side of the triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

A B 2 = A C 2 + B C 2

Hence,

A B 2 = A C 2 + B C 2

is true and the theorem is valid.
Hence, the correct option is 1.

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