Pythagorean Theorem Concepts

The video tutorial explains the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the two legs. It demonstrates how to solve for the hypotenuse when the lengths of the two legs are known, emphasizing the simplicity of substituting values into the formula and solving for the unknown side.

What does the Pythagorean theorem state about a right triangle?

• The legs are always equal in length.

• The hypotenuse is always the longest side.

• The square of the hypotenuse is equal to the sum of the squares of the legs.

• The sum of the angles is 180 degrees.

In a right triangle, which side is opposite the right angle?

• One of the legs

• The base

• The hypotenuse

• The adjacent side

What is the relationship between the legs and the hypotenuse in a right triangle?

• The legs are perpendicular to each other.

• The sum of the squares of the legs equals the square of the hypotenuse.

• The legs are always shorter than the hypotenuse.

• The hypotenuse is twice the length of one leg.

If you know the lengths of the two legs of a right triangle, what can you find using the Pythagorean theorem?

• The perimeter of the triangle

• The area of the triangle

• The length of the hypotenuse

• The angles of the triangle

What is the first step in solving for the hypotenuse using the Pythagorean theorem?

• Subtract the lengths of the legs

• Square the lengths of the legs

• Add the lengths of the legs

• Multiply the lengths of the legs

After squaring the lengths of the legs and adding them, what is the next step to find the hypotenuse?

• Divide by 2

• Take the square root of the sum

• Multiply by the hypotenuse

• Subtract the smaller leg from the larger leg