Exploring the Pythagorean Theorem and Special Right Triangles

What is the measure of a right angle?

• 180 degrees

• 90 degrees

• 360 degrees

• 45 degrees

In the Pythagorean theorem, what does 'c' represent?

• One of the legs

• The area of the triangle

• The hypotenuse

• The perimeter of the triangle

How do you find the length of the hypotenuse using the Pythagorean theorem?

• a plus b

• Square root of (a squared plus b squared)

• a times b

• a squared plus b squared

How do you simplify the expression √130?

• By finding its prime factors

• By dividing by its largest perfect square factor

• It cannot be simplified further

• By multiplying by √2

What is the result of simplifying the square root of 63?

• 3√7

• 7√3

• 9

• √9√7

What is the ratio of sides in a 45-45-90 triangle?

• 1:1:√2

• 1:√2:2

• 1:√3:2

• 1:2:3

In a 30-60-90 triangle, what is the length of the side opposite the 60-degree angle if the side opposite the 30-degree angle is 3?

• 3√3

• 3

• 6

• 3√2

Which statement is true about the legs of a 45-45-90 triangle?

• They are equal in length

• They are of different lengths

• Only one leg is needed for calculations

• They are irrelevant to finding the hypotenuse

If the side opposite the 30-degree angle in a 30-60-90 triangle is 4, what is the length of the hypotenuse?

• 2√2

• 4√3

• 8

• 4√2

What is the length of the hypotenuse in a 45-45-90 triangle if one leg is 9√2?

• 9√2

• 9

• 18

• 18√2