Pythagorean Theorem

Front

Which sides of a right triangle are called the legs?

Back

The legs are the two shorter sides of a right triangle, typically labeled as '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, typically labeled as 'c'.

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

If the hypotenuse (c) of a right triangle is 40 inches, what does this mean?

Back

It means that the length of the hypotenuse is 40 inches.

Front

When do we use the Pythagorean Theorem?

Back

We use the Pythagorean Theorem to find the missing length of a side in a right triangle.

Front

What is the formula for the Pythagorean Theorem?

Back

The formula is a² + b² = c².

Front

In the equation a² + b² = c², what do 'a' and 'b' represent?

Back

'a' and 'b' represent the lengths of the legs of the right triangle.

Front

In the equation a² + b² = c², what does 'c' represent?

Back

'c' represents the length of the hypotenuse of the right triangle.

Front

Can the Pythagorean Theorem be used for non-right triangles?

Back

No, the Pythagorean Theorem only applies to right triangles.

Front

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

Back

Using the Pythagorean Theorem: c² = 3² + 4²; c² = 9 + 16; c² = 25; c = 5 inches.