What is the Pythagorean Theorem used for?

• Calculating the area of a circle
• Finding the length of a side in a right triangle
• Measuring the volume of a cube
• Determining the circumference of a circle

What is the formula of the Pythagorean Theorem?

• a^2 + b^2 = c^2
• a^3 + b^3 = c^3
• a + b = c
• a^2 - b^2 = c^2

In a right triangle, if one leg is 3 units and the other is 4 units, what is the length of the hypotenuse?

• 5 units
• 6 units
• 7 units
• 8 units

Which type of triangle does the Pythagorean Theorem apply to?

• Equilateral triangle
• Isosceles triangle
• Right triangle
• Scalene triangle

If the hypotenuse of a right triangle is 13 units and one leg is 5 units, what is the length of the other leg?

• 10 units
• 12 units
• 9 units
• 11 units

Which one of these sets of numbers can be the sides of a right triangle?

• 1, 2, 3
• 3, 4, 5
• 5, 5, 5
• 2, 3, 4

Who was Pythagoras?

• A Roman Emperor
• A Greek philosopher and mathematician
• An Egyptian pharaoh
• A Chinese emperor

What is the hypotenuse in a right triangle?

• The longest side
• The shortest side
• The same as the other sides
• None of the above

If a right triangle has sides of 8 and 15, what is the length of the hypotenuse?

• 17
• 20
• 18
• 16

Which of these is a Pythagorean triple?

• 6, 8, 10
• 2, 3, 5
• 9, 12, 15
• 5, 12, 13

What is the distance formula used for finding the distance between two points on a coordinate plane?

• A = πr²
• d = √((x₂ - x₁)² + (y₂ - y₁)²)
• C = 2πr
• F = ma

If point A is at (3, 4) and point B is at (6, 8), what is the distance between these two points?

• 5
• 7
• 6
• 10

True or False: The distance between two points can be negative.

• True
• False

What is the distance between the points (-2, 1) and (1, 5)?

• 5
• 3
• 6
• 4

The Pythagorean theorem states that a^2 + b^2 = c^2 in any triangle.

The Pythagorean theorem can be used to find the length of any side of a right triangle if the lengths of the other two sides are known.

Pythagorean triples are sets of three positive integers that satisfy the equation a^2 + b^2 = c^2.

What is the square root of 81?

• 7
• 8
• 9
• 10

What is the square of 8?

• 56
• 60
• 64
• 72

Which of the following numbers is a perfect square?

• 50
• 60
• 70
• 100