Pythagorean Theorem

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 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 sides 'a' and 'b'.

Front

What is the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle, and is denoted as side 'c'.

Front

True or False: The legs are across from the right angle.

Back

False. The legs are the sides that form the right angle.

Front

True or False: The hypotenuse is across from the right angle.

Back

True. The hypotenuse is always opposite the right angle.

Front

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

Back

The relationship is given by the equation a² + b² = c², where 'c' is the hypotenuse and 'a' and 'b' are the legs.

Front

If one leg of a right triangle is 3 units and the other leg is 4 units, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: c² = 3² + 4² = 9 + 16 = 25. Therefore, c = √25 = 5 units.

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 a² = c² - b² or b² = c² - a², where 'c' is the hypotenuse and 'a' and 'b' are the legs.

Front

In a right triangle, if the hypotenuse is 10 units and one leg is 6 units, what is the length of the other leg?

Back

Using the formula: b² = c² - a², we have b² = 10² - 6² = 100 - 36 = 64. Therefore, b = √64 = 8 units.

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem applies only to right triangles.