Pythagorean Theorem (Finding the Legs)

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

What is the longest side of a right triangle called?

Back

The longest side of a right triangle is called the hypotenuse.

Front

True or False: The Pythagorean Theorem is a² + b² + c².

Back

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

Front

To which shape(s) does the Pythagorean theorem apply?

Back

The Pythagorean theorem applies only to right triangles.

Front

If one leg of a right triangle is 30 in. and the other leg is 40 in., what is the length of the hypotenuse?

Back

Using the Pythagorean theorem: c² = 30² + 40²; c² = 900 + 1600; c² = 2500; c = 50 in.

Front

What is a leg in a right triangle?

Back

A leg in a right triangle refers to either of the two sides that form the right angle.

Front

If the hypotenuse is 13 in. and one leg is 5 in., how do you find the length of the other leg?

Back

Use the Pythagorean theorem: a² + 5² = 13²; a² + 25 = 169; a² = 144; a = 12 in.

Front

What is the relationship between the sides of a right triangle according to the Pythagorean Theorem?

Back

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

Front

If a right triangle has legs of lengths 8 in. and 15 in., what is the length of the hypotenuse?

Back

Using the Pythagorean theorem: c² = 8² + 15²; c² = 64 + 225; c² = 289; c = 17 in.

Front

What is the formula to find the length of a leg if the hypotenuse and the other leg are known?

Back

The formula is: leg² = hypotenuse² - other leg².