Students learn the Converse of the Pythagorean Theorem, which states that if the sum of the squares of the lengths of two sides of a triangle is equal to the sum of the square of the third side, then the triangle is a right triangle. Students also learn the following related theorems. If the sum of the squares of the lengths of two sides of a triangle is less than the sum of the square of the third side, then the triangle is obtuse. If the sum of the squares of the lengths of two sides of a triangle is greater than the sum of the square of the third side, then the triangle is acute. If the sum of the lengths of any two sides of a triangle is less than or equal to the length of the third side, then the triangle is not possible. Students are then given the lengths of the sides of a triangle, and are asked if the triangle is acute, right, obtuse, or not possible. A review of the Pythagorean Triples, such as 3-4-5 or 5-12-13, is also included in this lesson.
We help you determine the exact lessons you need.
We provide you thorough instruction of every step.
We`re by your side as you try problems yourself.
We test your knowledge until you`ve got it down.
We build your foundation if you`re struggling.
Lesson limit reached

#### The learning doesn't have to stop!

Become a MathHelp.com member today and receive unlimited access to lessons, grade reports, practice tests, and more!

Become a member

#### The learning doesn't have to stop!

Become a MathHelp.com member today and receive unlimited access to lessons, grade reports, reviews and more!

Become a member
Select your category
Test Prep
K12
College
Cancel
Which test are you preparing for?
Cancel
Select your course
Cancel
Select your test
Select your course

*"Tutoring" recommended for classroom students

Cancel
Which college are you attending?
Cancel