9.3 Converse of the Pythagorean Theorem

Question 1

Converse of the Pythagorean Theorem

Answer 1

If the square of the length of the longest side of a triangle is equal to the sum of the squares of the lengths of the two shorter sides, then the triangle is a right triangle

Question 2

If the square of the length of the longest side of a triangle is less than the sum of the squares of the lengths of the shorter two sides, then…

Answer 2

The triangle is acute

Question 3

If the square of the length of the longest side of a triangle is greater than the sum of the squares of the lengths of the other two shorter sides, then…

Answer 3

The triangle is obtuse