Pythagorean Theorem

Which of the following shows a right angle?

• A

• B

• C

• D

What features do all right triangles have in common?

• Two legs and a hypotenuse

• Two equal sides and two equal angles

• Two 90-degree angles

• Three sides of equal length

Find the missing length

• 17

• 169

• 13

• 7

If the sum of the squares of the two legs of a triangle does not equal the square of the third side, what can you conclude?

• The triangle is not a right triangle

• The hypotenuse is either too long or too short

• The interior angles of the triangle do not add up to 180 degrees

• The triangle contains an obtuse angle

From the Pythagorean theorem, what can you infer about the hypotenuse of a right triangle?

• It's always longer than either of the legs

• It's always longer than both legs combined

• It's always shorter than either of the legs

• It's always shorter than both legs combined

Where can you find the hypotenuse of a right triangle?

• Opposite the acute angle

• Opposite the longer leg

• Opposite the shorter leg

• Opposite the right angle

If a right triangle's hypotenuse is 17 units long, and one of its legs is 15 units long, how long is the other leg?

• 2 units

• 64 units

• 8 units

• 42 units

Solve for x

• 15

• 225

• 21

• 441

The square of a number is:

• The number added to itself

• The number multiplied by itself

• The number multiplied by two

• The product of the number and the next-largest number

Which of the following statements is true?

• Pythagoras devised the Pythagorean Theorem when he was just 12 years old

• The discoverer of the Pythagorean Theorem received the Nobel Prize in Mathematics

• The Pythagorean Theorem was formulated in ancient India

• Mathematicians have known about the Pythagorean Theorem for several thousand years