Exploring the Pythagorean Theorem and Triangle Types

What are the names of the sides forming the right angle in a right triangle?

• None of the above

• Side A and Side C

• Side A and Side B

• Side B and Side C

Which side is always the longest in a right triangle?

• Side A

• None of the above

• Side B

• Side C

How do you calculate the hypotenuse if the legs are 6 and 8 units?

• Square root of 36

• Square root of 64

• Square root of 100

• Square root of 28

If the hypotenuse is 25 units and one leg is 7 units, what is the length of the other leg?

• 24 units

• 49 units

• 25 units

• 7 units

Which set of numbers is a common Pythagorean triple?

• 6, 8, 9

• 5, 10, 15

• 3, 4, 5

• 2, 3, 4

Which of the following is not a Pythagorean triple?

• 7, 24, 25

• 8, 15, 17

• 5, 12, 13

• 6, 10, 15

How can you generate new Pythagorean triples from the basic 3, 4, 5 set?

• Adding the same number to each

• Multiplying each by the same number

• Squaring each number

• Dividing each by the same number

What happens if a squared plus b squared equals c squared?

• Forms a right triangle

• Forms an obtuse triangle

• Forms an acute triangle

• None of the above

What is the result if a squared plus b squared is less than c squared?

• Cannot determine

• Obtuse triangle

• Acute triangle

• Right triangle

What is the result if a squared plus b squared is greater than c squared?

• Right triangle

• Acute triangle

• Cannot determine

• Obtuse triangle