FLASHCARD | Pythagorean Theorem Flashcard

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

What are the legs of a right triangle?

Back

The legs of a right triangle are the two sides that form the right angle. They are usually referred to as 'a' and 'b' in the Pythagorean Theorem.

Front

How do you calculate the diagonal length of a rectangle?

Back

To calculate the diagonal length (d) of a rectangle, use the Pythagorean Theorem: d = √(width² + height²).

Front

If a TV screen has a width of 32 inches and a height of 18 inches, what is the diagonal length?

Back

The diagonal length is approximately 37 inches.

Front

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

Back

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

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

What is the value of h if a = 35 and b = 35?

Back

h = √(35² + 35²) = 35.71.

Front

In a right triangle, if one leg is 12 and the other leg is 16, what is the hypotenuse?

Back

The hypotenuse is 20, calculated as √(12² + 16²).

Front

What is the length of the missing side if one leg is 5 and the hypotenuse is 13?

Back

The missing side is 12, calculated as √(13² - 5²).

Front

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

Back

The length of the other leg is 8, calculated as √(10² - 6²).