Understanding the Pythagorean Theorem

What is a right triangle?

• A triangle with all sides equal

• A triangle with no equal sides

• A triangle with one 90-degree angle

• A triangle with all angles equal

Which side of a right triangle is the longest?

• The side adjacent to the right angle

• The side opposite the largest angle

• The side opposite the smallest angle

• The side opposite the right angle

What are the two sides that form the right angle in a right triangle called?

• Hypotenuse

• Legs

• Bases

• Arms

What does the Pythagorean theorem state?

• The square of the hypotenuse is equal to the sum of the squares of the other two sides

• The square of one leg is equal to the sum of the squares of the other two sides

• The sum of the angles in a triangle is 180 degrees

• The sum of the sides of a triangle is equal to the hypotenuse

In the Pythagorean theorem, what is the formula for the hypotenuse?

• Hypotenuse = leg1^2 + leg2^2

• Hypotenuse = leg1 + leg2

• Hypotenuse^2 = leg1 + leg2

• Hypotenuse^2 = leg1^2 + leg2^2

If one leg of a right triangle is 5 units and the other is 8 units, what is the length of the hypotenuse?

• 15 units

• Square root of 89 units

• 13 units

• 10 units

What is the approximate decimal value of the square root of 89?

• 9.93

• 8.94

• 9.43

• 9.33

Why is it important to know the orientation of a triangle when using the Pythagorean theorem?

• To determine the type of triangle

• To find the perimeter

• To calculate the area

• To identify the hypotenuse correctly

What should you do if you want to explore different proofs of the Pythagorean theorem?

• Watch a movie

• Search online for various proofs

• Read a novel

• Ask a friend

What is the key relationship to remember in a right triangle?

• Leg squared equals hypotenuse squared

• Leg plus other leg equals hypotenuse

• Leg plus hypotenuse equals other leg

• Leg squared plus other leg squared equals hypotenuse squared