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). It is expressed as a² + b² = c².

Front

Is the statement a² + b² = c⁴ true or false?

Back

False. The correct statement is a² + b² = c².

Front

If a = 12 and b = 35, what is c?

Back

c = 37.

Front

Which set of side lengths forms a right triangle: 6, 9, 12 or 9, 40, 41?

Back

9, 40, 41 forms a right triangle.

Front

How do you find the length of the missing side in a right triangle?

Back

Use the Pythagorean Theorem: a² + b² = c², where c is the hypotenuse.

Front

What is the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

If one side of a right triangle is 25 cm and the other is 48 cm, what is the length of the hypotenuse?

Back

The hypotenuse is 52 cm.

Front

What is the relationship between the sides of a right triangle?

Back

The sum of the squares of the two shorter sides equals the square of the longest side (hypotenuse).

Front

Can a triangle with sides 5, 10, and 12 be a right triangle?

Back

No, it cannot be a right triangle.

Front

What is the formula to calculate the length of the hypotenuse?

Back

c = √(a² + b²).