Understanding the Pythagorean Theorem

What is the longest side of a right triangle called?

• Altitude

• Leg

• Base

• Hypotenuse

Which formula represents 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 a right triangle has legs of 12 cm and 9 cm, what is the length of the hypotenuse?

• 24 cm

• 21 cm

• 18 cm

• 15 cm

In a right triangle, if one leg is 8 cm and the hypotenuse is 24 cm, what is the length of the other leg?

• 16 cm

• 22.6 cm

• 20 cm

• 18 cm

What is the converse of the Pythagorean Theorem used for?

• Determining if a triangle is right-angled

• Finding the area of a triangle

• Finding the height of a triangle

• Calculating the perimeter of a triangle

What is the result of reversing the parts of the Pythagorean Theorem?

• A formula for area

• An incorrect statement

• The converse of the theorem

• A new theorem

If a triangle has sides of 5 cm, 12 cm, and 13 cm, is it a right triangle?

• Only if the angle is 90 degrees

• Cannot be determined

• No

• Yes

Which of the following sets of side lengths can form a right triangle?

• 3, 4, 5

• 6, 8, 10

• 7, 24, 25

• 5, 5, 5

If a triangle has sides 36 cm, 48 cm, and 60 cm, does it form a right triangle?

• Yes

• Only if the angle is 90 degrees

• Cannot be determined

• No

For a triangle with sides 4 cm, 7 cm, and 5 cm, does it satisfy the Pythagorean Theorem?

• Only if the angle is 90 degrees

• No

• Cannot be determined

• Yes