Pythagorean Theorem Quiz

What is the formula for the Pythagorean theorem?

• a^2 - b^2 = c^2

• 2a + 2b = 2c

• a + b = c

• a^2 + b^2 = c^2

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

• 6

• 7

• 8

• 5

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

• 7

• 4

• 8

• 5

What is the relationship between the squares of the two shorter sides of a right-angled triangle and the square of the hypotenuse?

• a^2 * b^2 = c^2

• a^2 + b^2 = c^2

• a^2 - b^2 = c^2

• a^2 / b^2 = c^2

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

• 7

• 20

• 10

• 13

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

• 15

• 12

• 10

• 7

What type of triangle does the Pythagorean theorem apply to?

• Right-angled triangle

• Scalene triangle

• Isosceles triangle

• Equilateral triangle

If the lengths of the two shorter sides of a right-angled triangle are 8 and 15 units, what is the length of the hypotenuse?

• 17

• 25

• 12

• 10

In a right-angled triangle, if the length of the hypotenuse is 17 units and one of the shorter sides is 8 units, what is the length of the other shorter side?

• 10

• 20

• 15

• 12

How is the Pythagorean theorem used to solve for the length of a side in a right-angled triangle?

• By using the formula a^2 - b^2 = c^2, where a and b are the lengths of the two shorter sides and c is the length of the hypotenuse.

• By using the formula a^2 + b^2 = c^2, where a and b are the lengths of the two shorter sides and c is the length of the hypotenuse.

• By using the formula a * b = c, where a and b are the lengths of the two shorter sides and c is the length of the hypotenuse.

• By using the formula a + b = c, where a and b are the lengths of the two shorter sides and c is the length of the hypotenuse.