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

Answer 1

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.