Pythagorean Theorem Quiz

What is the Pythagorean theorem?

• The Pythagorean theorem is a^2 + b^2 = c^2

• The Pythagorean theorem is a^2 - b^2 = c^2

• The Pythagorean theorem is a^3 + b^3 = c^3

• The Pythagorean theorem is a + b = c

If the two legs of a right-angled triangle are 3 and 4 units long, what is the length of the hypotenuse?

• 2

• 5

• 10

• 7

In a right-angled triangle, if the length of the hypotenuse is 10 units and one leg is 6 units, what is the length of the other leg?

• 8

• 4

• 12

• 5

If the lengths of the two legs of a right-angled triangle are 5 and 12 units, what is the length of the hypotenuse?

• 10

• 7

• 15

• 13

In a right-angled triangle, if the length of the hypotenuse is 13 units and one leg is 5 units, what is the length of the other leg?

• 12

• 15

• 10

• 7

What is the Pythagorean triple for the sides of a right-angled triangle?

• (8, 15, 17)

• (7, 24, 25)

• (3, 4, 5) or any multiple of this triple

• (5, 12, 13)

If the length of the hypotenuse in a right-angled triangle is 17 units and one leg is 8 units, what is the length of the other leg?

• 12 units

• 15 units

• 20 units

• 10 units

In a right-angled triangle, if the lengths of the two legs are 7 and 24 units, what is the length of the hypotenuse?

• 31

• 16

• 42

• 25

What is the relationship between the squares of the lengths of the legs and the square of the length of the hypotenuse in a right-angled triangle?

• The square of the length of the hypotenuse is equal to the difference of the squares of the lengths of the legs.

• The square of the length of the hypotenuse is equal to the product of the squares of the lengths of the legs.

• The square of the length of the hypotenuse is equal to the square of the sum of the lengths of the legs.

• The sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.