Pythagorean Challenge

What is the formula of the Pythagorean theorem?

• a^2 + b^2 = c^2

• a^2 - b^2 = c^2

• a^3 + b^3 = c^3

• a + b = c

If one side of a right triangle is 5 and the other side is 12, what is the length of the hypotenuse?

• 15

• 8

• 20

• 13

In a right triangle, if the lengths of two sides are 3 and 4, what is the length of the third side?

• 8

• 5

• 7

• 6

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

• The relationship between the squares of the two shorter sides of a right triangle and the square of the hypotenuse is given by the Pythagorean theorem: 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 a right triangle has sides of length 6, 8, and x, what is the value of x?

• 10

• 12

• 5

• 15

What is the Pythagorean triple for which the sum of the squares of the two shorter sides is equal to the square of the hypotenuse?

• 3, 4, 5

• 7, 24, 25

• 5, 12, 13

• 8, 15, 17

If the lengths of the two shorter sides of a right triangle are 9 and 12, what is the length of the hypotenuse?

• 10

• 18

• 20

• 15

What is the Pythagorean theorem used for?

• Solving algebraic equations

• Measuring angles in a triangle

• Calculating the length of the sides of a right triangle.

• Finding the area of a circle

In a right triangle, which side is considered the hypotenuse?

• The side adjacent to the right angle

• The longest side

• The side opposite the right angle

• The side opposite the acute angle

If the lengths of the two shorter sides of a right triangle are 7 and 24, what is the length of the hypotenuse?

• 25

• 20

• 30

• 15