Pythagoras theorem states that, in a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides, converse of the Pythagorean theorem If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle
A biconditional statement is a combination of a conditional statement and its converse written in the if and only if form.
We know,
Pythagoras theorem states that, in a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
Converse of Pythagorean theorem If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle
Hence, Pythagoras theorem states that, in a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides, converse of the Pythagorean theorem If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.
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