Applying the Pythagorean Theorem in Right Triangles

What is the relationship defined by the Pythagorean theorem?

• a^2 - b^2 = c^2

• a^3 + b^3 = c^3

• a^2 + b^2 = c^2

• a + b = c

Which side of the right triangle is always labeled as 'C'?

• The side opposite the right angle

• The longest side

• The shortest side

• Any side

What mathematical operation is used to solve for a side length in the Pythagorean theorem?

• Subtraction

• Square root

• Addition

• Multiplication

What does the Pythagorean theorem apply to?

• Any triangle

• Right triangles only

• Equilateral triangles

• Isosceles triangles

What is the length of the hypotenuse in the first example?

• 10 units

• 12 units

• 14 units

• 8 units

What is the result of squaring the hypotenuse in the first example?

• 52

• 36

• 64

• 100

How do you find the length of a hypotenuse when the legs are 6 and 4 units?

• Square root of 100

• Square root of 36

• 2 root 13

• Square root of 52

What is the missing leg length in the third example?

• 3 units

• 4 units

• 5 units

• 6 units

In the ladder problem, what is the distance from the base of the ladder to the house?

• 10 feet

• 16 feet

• 4 feet

• 15.49 feet

What is the height the ladder reaches on the house?

• More than 16 feet

• Approximately 15.49 feet

• Less than 15 feet

• Exactly 16 feet