Understanding Right Trapezoids and the Pythagorean Theorem

The video tutorial explains how to determine the length of X in a right trapezoid by decomposing it into a rectangle and a right triangle. It uses the Pythagorean theorem to calculate the hypotenuse, X, by applying the formula C = A^2 + B^2. The solution involves solving for X and simplifying the result to find both the exact and approximate values.

What is a defining characteristic of a right trapezoid?

• It has no right angles.

• It has all sides of equal length.

• It has one pair of parallel sides and two right angles.

• It has two pairs of parallel sides.

How can a right trapezoid be divided?

• Into two squares

• Into two triangles

• Into a rectangle and a right triangle

• Into a circle and a triangle

What is the length of the shorter leg in the right triangle formed from the trapezoid?

• 6 units

• 8 units

• 2 units

• 10 units

Which formula represents the Pythagorean theorem?

• C = A^2 + B^2

• C = A^2 * B^2

• C = A + B

• C = A^2 - B^2

What is the approximate value of X when calculated using the Pythagorean theorem?

• 8.32

• 5.32

• 7.32

• 6.32