Pythagorean Theorem

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

Right triangle.

Front

What does the Pythagorean Theorem state?

Back

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Front

What is the formula for the Pythagorean Theorem?

Back

a² + b² = c², where c is the hypotenuse.

Front

What is the hypotenuse in a right triangle?

Back

The side opposite the right angle, and the longest side of the triangle.

Front

What is the opposite of squaring a number?

Back

Square root.

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, √25 = 5).

Front

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

Back

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

Front

What is a common application of the Pythagorean Theorem?

Back

Finding the distance between two points in a coordinate plane.

Front

What is the area of a square with a side length equal to the hypotenuse of a right triangle?

Back

Area = c², where c is the length of the hypotenuse.

Front

In a right triangle, if one leg is doubled, how does that affect the hypotenuse?

Back

The hypotenuse will increase, but the exact relationship depends on the length of the other leg.