Mastering the Pythagorean Theorem

Which of the following triangles is a right triangle?

• A triangle with sides 3, 4, and 5

• A triangle with sides 5, 5, and 5

• A triangle with sides 6, 8, and 10

• A triangle with sides 2, 2, and 3

If one leg of a right triangle is 8 units long and the hypotenuse is 17 units long, what is the length of the other leg?

• 9 units

• 15 units

• 13.9 units

• 15.1 units

For a right triangle with sides of lengths 5, 12, and 13, confirm if it adheres to the Pythagorean theorem.

• True

• False

Using the Pythagorean theorem, solve for the hypotenuse of a right triangle with legs of 6 units and 8 units.

• 10 units

• 14 units

• 10.0 units

• 9.8 units

A right triangle has a hypotenuse of 13 units and one leg of 5 units. What is the length of the other leg, rounded to the nearest tenth?

• 12.0 units

• 11.2 units

• 12 units

• 11.7 units

Which of the following sets of numbers could be the lengths of the sides of a right triangle?

• 7, 24, 25

• 9, 40, 41

• 8, 15, 17

• All of the above

A ladder leans against a wall forming a right angle with the ground. If the ladder is 13 units long and reaches 12 units up the wall, how far is the base of the ladder from the wall, rounded to the nearest tenth?

• 5 units

• 5.0 units

• 5.4 units

• 5.5 units

Verify the Pythagorean theorem for a triangle with sides 9, 40, and 41.

• True

• False

Solve for the missing leg in a right triangle if the hypotenuse is 10 units and one leg is 6 units.

• 8 units

• 8.0 units

• 7.2 units

• 8.2 units

A triangle has sides of lengths 8, 15, and 17. Verify if it is a right triangle.

• Yes

• No