Understanding Right Trapezoid and Pythagorean Theorem

The video tutorial explains how to determine the value of x in a right trapezoid. It begins by breaking down the trapezoid into a square and a right triangle, then uses the Pythagorean theorem to calculate x, which is the hypotenuse. The process involves solving the equation x squared equals the sum of the squares of the other two sides, and simplifying the result to find x equals two times the square root of five.

What geometric shapes make up the right trapezoid in the problem?

• A rectangle and a right triangle

• A square and a right triangle

• Two squares

• Two right triangles

How is the short leg of the right triangle determined?

• By adding the lengths of the square's sides

• By subtracting the square's side from the triangle's hypotenuse

• By subtracting the square's side from the longer leg of the trapezoid

• By measuring directly from the diagram

Which theorem is used to find the value of x in the problem?

• Trapezoid Area Theorem

• Triangle Inequality Theorem

• Theorem of Similar Triangles

• Pythagorean Theorem

What is the value of x squared according to the Pythagorean theorem?

• 10

• 16

• 20

• 25

How is the expression for x simplified?

• By factoring 20 into 2 times 10

• By dividing 20 by 2

• By expressing 20 as 4 times 5 and taking the square root of 4

• By adding 4 and 5