How to apply the pythagorean theorem to find the missing lengths of a triangle

The video tutorial explains how to identify right triangles and apply the Pythagorean theorem to calculate the hypotenuse. It covers the relationship between the sides of a triangle and the hypotenuse, and demonstrates solving for X using square roots and inverse operations. The tutorial concludes with a summary of the solution.

What is a key characteristic of a right triangle that allows the use of the Pythagorean theorem?

• It has three acute angles.

• It has an obtuse angle.

• It has a right angle.

• It has two equal sides.

In the Pythagorean theorem, what is the hypotenuse?

• The longest side of the triangle.

• The side adjacent to the right angle.

• The shortest side of the triangle.

• The side opposite the smallest angle.

What is the sum of the squares of the two sides in the example given?

• 45

• 51

• 53

• 49

What operation is used to solve for the hypotenuse once the sum of the squares is known?

• Addition

• Multiplication

• Subtraction

• Square root

What is the simplified form of the hypotenuse in the example?

• sqrt 49

• 9

• sqrt 53

• 7