Question

Converse of pythagoras theoram
proof
class 10

Answer 1

Refer to the attachments mate

Answer 2

The Converse of the Pythagorean Theorem

Lets begin by asking the question: "What is a converse?"

In mathematics a converse is a theorem whose hypothesis and conclusion are the conclusion and hypothesis of another theorem. In other words, the converse of the Pythagorean Theorem is the reversal of the Pythagorean Theorem.

The Pythagorean Theorem states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse:

a ^2 + b ^2 = c ^2

The converse of the Pythagorean Theorem is the Pythagorean Theorem flipped.

The converse of the Pythagorean 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 of the triangle,

then the triangle is a right triangle.

The Pythagorean theorem is used to find the length of a missing side of a right triangle, the converse of the Pythagorean Theorem is used to determine if a triangle is a right triangle or not.