Which of the following statements is the converse of the Pythagorean Theorem?
MATHEMATICS · Single correct · CBSE · Mathematics · The Baudhayana-Pythagoras Theorem · The Baudhayana-Pythagoras Theorem
Problem
Which of the following statements is the converse of the Pythagorean Theorem?
(a) In a right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides.
(b) If, in a triangle, the sum of the squares of two sides is greater than the square of the third side, the triangle is right-angled.
(c) If, in a triangle, the square of the longest side equals the sum of the squares of the remaining two sides, the triangle is right-angled.
(d) If, in a triangle, the square of the longest side is less than the sum of the squares of the other two sides, the triangle is obtuse-angled.