Pythagorean Theorem Exit Ticket

Front

What are the legs of a right triangle?

Back

The legs of a right triangle are the two sides that form the right angle, commonly referred to as sides a and b.

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 can be expressed as: c² = a² + b².

Front

If c = 97 and b = 72, what is a?

Back

a = 65.

Front

Which side is always the longest in a right triangle?

Back

Side c, the hypotenuse, is always the longest side in a right triangle.

Front

Do the lengths 15, 12, and 9 form a right triangle?

Back

Yes, they do form a right triangle.

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

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

Back

In a right triangle, the sum of the squares of the lengths of the legs (a and b) equals the square of the length of the hypotenuse (c).

Front

Can the lengths 5, 12, and 13 form a right triangle?

Back

Yes, 5, 12, and 13 can form a right triangle.

Front

What is the formula to find the hypotenuse in a right triangle?

Back

The formula to find the hypotenuse (c) is c = √(a² + b²).

Front

What does it mean if a triangle is not a right triangle?

Back

If a triangle is not a right triangle, it means that none of its angles measure 90 degrees.