Applying pythagorean theorem to find the length of a hypotenuse

The video tutorial explains how to identify and label right triangles, apply the Pythagorean theorem to find the hypotenuse, solve for the missing side using square roots, and simplify radicals. The instructor guides students through the process of solving for X in a right triangle, emphasizing the importance of understanding each step and providing tips for simplifying answers.

What is the first step in solving a problem involving a right triangle?

• Determine the length of the hypotenuse

• Identify the triangle as a right triangle

• Calculate the area of the triangle

• Find the perimeter of the triangle

In the Pythagorean theorem, what does the equation a^2 + b^2 = c^2 represent?

• The sum of the angles in a triangle

• The relationship between the sides of a right triangle

• The calculation for the perimeter of a triangle

• The formula for the area of a triangle

If one leg of a right triangle is 4 and the other is 6, what is the value of c^2?

• 20

• 52

• 36

• 16

What operation is used to find the length of the hypotenuse from c^2?

• Multiplication

• Square root

• Subtraction

• Addition

How can the square root of 52 be simplified?

• 2 times the square root of 13

• 4 times the square root of 13

• 3 times the square root of 13

• 5 times the square root of 13