Pythagorean Review Flashcardziz

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 a right triangle?

Back

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

Front

What are the sides of a right triangle called?

Back

The sides of a right triangle are called the legs (the two shorter sides) and the hypotenuse (the longest side opposite the right angle).

Front

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

Back

Use the Pythagorean Theorem: If you know the lengths of two sides, you can find the third side by rearranging the formula a² + b² = c².

Front

What is the square root of a number?

Back

The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 16 is 4.

Front

What is the relationship between the sides 5, 12, and 13?

Back

The sides 5, 12, and 13 form a right triangle because they satisfy the Pythagorean Theorem: 5² + 12² = 13².

Front

What is the distance formula in a coordinate plane?

Back

The distance between two points (x1, y1) and (x2, y2) is given by the formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

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

Back

Yes, they can form a right triangle because they satisfy the Pythagorean Theorem: 9² + 12² = 15².

Front

What does it mean to square a number?

Back

To square a number means to multiply the number by itself. For example, 3 squared (3²) is 9.

Front

What is the opposite operation of squaring a number?

Back

The opposite operation of squaring a number is taking the square root.