Pythagorean Theorem Quiz

What does the Pythagorean Theorem state about a right triangle?

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

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

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

• The area of the square on the hypotenuse is equal to the area of the square on one of the other two sides.

How is the Pythagorean Theorem equation written?

• a^2 = b^2 + c^2

• b^2 = a^2 + c^2

• c^2 = a^2 + b^2

• a^2 + b^2 = c

If side 'a' of a right triangle is 3 units and side 'b' is 4 units, what is the length of the hypotenuse 'c'?

• 5 units

• 6 units

• 7 units

• 9 units

Which of the following is an example of a Pythagorean triple?

• 2, 3, 4

• 3, 4, 5

• 5, 5, 5

• 6, 8, 9

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

• The area of the square on the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

• The area of the square on the hypotenuse is equal to the area of the square on one of the other two sides.

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

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

Which equation represents the Pythagorean Theorem?

• a^2 = b^2 + c^2

• a^2 + b^2 = c

• a + b^2 = c^2

• a^2 + b^2 = c^2

According to the diagram, what is the area of the semicircle on side 'a' of the right triangle?

• 1/8πa^2

• 1/8πb^2

• 1/8πc^2

• πa^2

What is the area of the semicircle on side 'b' of the right triangle, as shown in the diagram?

• 1/8πa^2

• 1/8πb^2

• 1/8πc^2

• πb^2

What is the area of the semicircle on the hypotenuse 'c' of the right triangle, as indicated in the diagram?

• 1/8πa^2

• 1/8πb^2

• 1/8πc^2

• πc^2

What does the Pythagorean Theorem state about the sides of a right triangle?

• The square of the hypotenuse is equal to the sum of the squares of the other two sides.

• The square of the hypotenuse is equal to the square of one of the other two sides.

• The sum of the hypotenuse is equal to the sum of the other two sides.

• The square of the hypotenuse is half the sum of the squares of the other two sides.