Introduction to Pythagoras

Who is the Pythagorean Theorem named after?

• Pythagoras

• Euclid

• Archimedes

• Aristotle

What type of triangle does the Pythagorean Theorem apply to?

• Scalene

• Right

• Isosceles

• Equilateral

What is the formula of the Pythagorean Theorem?

• a² + b²= c²

• 2a + 2b = c²

• a² - b² = c²

• a³ + b³ = c³

In the Pythagorean Theorem, what does 'c' represent?

• The perimeter of the triangle

• The area of the triangle

• The hypotenuse

• One of the legs

If a right triangle has short sides of 4 meters and 3 meters, what is the length of the hypotenuse?

• 8 meters

• 7 meters

• 6 meters

• 5 meters

If a right triangle has a hypotenuse of 17 cm and one side of 15 cm, what is the length of the other side?

• 10 cm

• 8 cm

• 9 cm

• 11 cm

What does the Pythagorean Theorem state about the squares on the sides of a right-angled triangle?

• The areas of the squares on the sides are equal.

• The area of the square on the hypotenuse is half the sum of the areas of the squares on the other sides.

• The area of the square on one side equals the sum of the areas of the squares on the hypotenuse and the other side.

• The area of the square on the hypotenuse equals the sum of the areas of the squares on the other sides.

In the equation a²+ b² = c², what do 'a' and 'b' represent?

• The hypotenuses

• The shorter sides of the triangle

• The angles of the triangle

• The perimeters of the squares on the sides

How do you solve for the hypotenuse when given the lengths of the other sides?

• Square the lengths of the other sides, add them together, and find the square root of the answer.

• Multiply the lengths of the other sides and find the square root of the answer.

• Subtract the lengths of the other sides and find the square root of the answer.

• Add the lengths of the other sides and find the square root of the answer.