Lesson 3
In this lesson we learned about the pythagorean theorem. We also learned about the converse of the pythagorean theorem and the pythagorean inequalities theorem.
The pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.
The converse of the pythagorean theorem states that if the sum of the squares of the lengths of two sides of a triangle is equal to the square of the length of the third side, then the triangle is a right triangle.
Pythagorean Inequalities Theorem In △ABC, c is the length of the longest side. If C^2>A^2+B^2 then the triangle is obtuse. if C^2<A^2+B^2 then the triangle is acute.
The pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.
The converse of the pythagorean theorem states that if the sum of the squares of the lengths of two sides of a triangle is equal to the square of the length of the third side, then the triangle is a right triangle.
Pythagorean Inequalities Theorem In △ABC, c is the length of the longest side. If C^2>A^2+B^2 then the triangle is obtuse. if C^2<A^2+B^2 then the triangle is acute.