Question

Explain the converse of the Pythagorean theorem. A. The converse of the Pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of its legs is less than the square of its hypotenuse. B. The converse of the Pythagorean theorem states that if the square of one side of a triangle is greater than the sum of the squares of the other two sides, then the triangle is a right triangle. C. The converse of the Pythagorean theorem states that if the square of one side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle. D. The converse of the Pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of its legs is greater than the square of its hypotenuse.

Answer 1

wrong. its d <3

Explanation:

Answer 2

C. The converse of the Pythagorean theorem states that if the square of one side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

Explanation:

-That is, if in
`\triangle BAC`,
`a^2+b^2=c^2` then ABC is said to be a right angle triangle.

-
`\angle ACB` being the right angle measuring 90°.

-Hence, C is the correct answer since the square of the hypoteneuse equals the sum of squares of the base and height.