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). It is expressed as: a² + b² = c².

Front

What is the formula for the Pythagorean Theorem?

Back

The formula for the Pythagorean Theorem is a² + b² = c².

Front

What is the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

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

Back

The length of the hypotenuse is 5, calculated using the Pythagorean Theorem: 3² + 4² = 9 + 16 = 25, so c = √25 = 5.

Front

What is the opposite of squaring a number?

Back

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

Front

Can the Pythagorean Theorem be used for any triangle?

Back

No, the Pythagorean Theorem only applies to right triangles.

Front

If a right triangle has sides of length 6 and 8, what is the length of the hypotenuse?

Back

The length of the hypotenuse is 10, calculated as follows: 6² + 8² = 36 + 64 = 100, so c = √100 = 10.

Front

What is a right triangle?

Back

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

Front

What does 'a' and 'b' represent in the Pythagorean Theorem?

Back

'a' and 'b' represent the lengths of the two legs (the sides that form the right angle) of the right triangle.

Front

Is the statement 'a² + b² = c²' true for all triangles?

Back

False, it is only true for right triangles.