Introduction to Pythagoras

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.

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.

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

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

• A

• B

• C

• D

• A

• B

• C

• D