Question

Define converse of pythagoreas theorem

Answer 1

Answer:

The converse of the Pythagorean Theorem states that if the square of the third side of a triangle is equivalent to the sum of its two shorter sides, then it must be a right triangle. ... It gives us an easy way to prove whether a triangle is a right triangle

Answer 2

Answer:

The converse of Pythagoras theorem states that “If the square of a side is equal to the sum of the square of the other two sides, then triangle must be right angle triangle”.

• Whereas Pythagorean theorem states that the sum of the square of two sides (legs) is equal to the square of the hypotenuse of a right-angle triangle.
• But, in the reverse of the Pythagorean theorem, it is said that if this relation satisfies, then triangle must be right angle triangle.
• So, if the sides of a triangle have length, a, b and c and satisfy given condition a² + b² = c², then the triangle is a right-angle triangle.

The converse of the Pythagorean Theorem states that if the square of the third side of a triangle is equivalent to the sum of its two shorter sides, then it must be a right triangle.