Pythagorean Theorem and Right Triangles

This video tutorial covers the Pythagorean theorem, explaining its application to right triangles. It details the components of the theorem, including legs and hypotenuse, and provides step-by-step examples of solving for missing sides using the formula a² + b² = c². The tutorial also offers guidance on using calculators for these calculations.

What type of triangle is the Pythagorean Theorem applicable to?

• Equilateral triangle

• Isosceles triangle

• Right triangle

• Scalene triangle

Which sides of a right triangle are referred to as the legs?

• The side opposite the right angle

• Any two sides

• The sides that form the right angle

• The longest side

What is the hypotenuse of a right triangle?

• Any side of the triangle

• The shortest side

• The side opposite the right angle

• The side that forms the right angle

In the Pythagorean Theorem formula, what does 'C' represent?

• The perimeter of the triangle

• The area of the triangle

• The hypotenuse

• One of the legs

What is the formula for the Pythagorean Theorem?

• a^2 + b^2 = c

• a + b = c^2

• a^2 = b^2 + c^2

• a^2 + b^2 = c^2

If one leg of a right triangle is 8 and the other leg is 15, what is the length of the hypotenuse?

• 23

• 17

• 25

• 20

If the hypotenuse of a right triangle is 21 and one leg is 7, what is the length of the other leg?

• 18.7

• 22.1

• 20.5

• 19.8

What is the length of the diagonal of a rectangle with sides 12 inches and 17 inches?

• 20.8 inches

• 21.5 inches

• 19.7 inches

• 22.3 inches

If one leg of a right triangle is 24 and the hypotenuse is 26, what is the length of the other leg?

• 10

• 16

• 12

• 14

If the hypotenuse of a right triangle is 15 inches and one leg is 11 inches, what is the length of the other leg?

• 10.2 inches

• 12.3 inches

• 11.5 inches

• 13.4 inches