Pythagorean Theorem - basics

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: c² = a² + b².

Front

What do we call the longest side of a right triangle?

Back

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

Front

What are the two shorter sides of a right triangle called?

Back

The two shorter sides of a right triangle are called 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; c² = 9 + 16; c² = 25; c = 5 units.

Front

What is the square root of 64?

Back

The square root of 64 is 8.

Front

True or False: The Pythagorean Theorem can be used for all triangles.

Back

False. The Pythagorean Theorem only applies to right triangles.

Front

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

Back

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

Front

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

Back

Using the Pythagorean Theorem: 10² = 6² + b²; 100 = 36 + b²; b² = 64; b = 8 units.

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 to find the length of a side in a triangle that is not a right triangle?

Back

No, the Pythagorean Theorem can only be used in right triangles.