Pythagorean Theorem Exit Ticket

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). Formula: a² + b² = c².

Front

What is the formula for the Pythagorean Theorem?

Back

a² + b² = c²

Front

What do we call the longest side of a right triangle?

Back

Hypotenuse

Front

What are the two shorter sides of a right triangle called?

Back

Legs

Front

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

Back

'c' represents the length of the hypotenuse.

Front

In the Pythagorean Theorem, what do 'a' and 'b' represent?

Back

'a' and 'b' represent the lengths of the legs of the right triangle.

Front

The Pythagorean Theorem ONLY works on which type of triangle?

Back

Right triangle

Front

If one leg of a right triangle is 3 and the other leg is 4, what is the length of the hypotenuse?

Back

5 (Using the Pythagorean Theorem: 3² + 4² = 9 + 16 = 25, so c = √25 = 5).

Front

If the hypotenuse of a right triangle is 10 and one leg is 6, what is the length of the other leg?

Back

8 (Using the Pythagorean Theorem: 6² + b² = 10², so 36 + b² = 100, b² = 64, b = √64 = 8).

Front

What is the relationship between the sides of a right triangle according to the Pythagorean Theorem?

Back

The sum of the squares of the lengths of the two legs equals the square of the length of the hypotenuse.