Right Triangles and the Pythagorean Theorem

What does every right triangle have?

• a 90 degree angle

• 3 sides of the same length

• 2 sides of the same length

• 2 angles of the same measure

What is true about the hypotenuse?

Check all that apply

• It is the longest side

• It is the shortest side

• It is next to the 90 degree angle

• It is opposite from the 90 degree angle

Which letter is used to represent the hypotenuse?

• a

• b

• c

What is true about the legs of a right triangle?

Check all that apply

• They are the longest sides

• They are the shorter sides

• They are opposite the 90 degree angle.

• They are next to the 90 degree angle.

Which letter(s) are used to represent the legs of a right triangle?

Check all that apply.

• a

• b

• c

What is the pythagorean theorem?

• a² + b² = c²

• a² - b² = c²

• a² + b² + c²

• a² + c² = b²

The pythagorean theorem can be used to find the missing side of any type of triangle.

• True

• False

a = 3

b = 4

c = ?

Which option correctly uses the pythagorean theorem to solve of the hypotenuse?

• a² + b² = c²

  3² + 4² = c²

  9 + 16 = c²

  25 = c²

  5 = c

• a² + b² = c²

  3² + 4² = c² 

  6 + 8 = c²

  14 = c²

  c = √14

• a² + b² = c²

  3² + 4² = c²

  9 + 16 = c²

  20 = c²

  c = √20

• a² + b² = c²

  4² + b² = 3²

  16 + b² = 9

  b² = 9 - 16

  b² = -5