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 can be expressed as: c² = a² + b².

Front

What are the sides 'a' and 'b' in a right triangle?

Back

The sides 'a' and 'b' are referred to as the 'legs' of the right triangle.

Front

What is the hypotenuse in a right triangle?

Back

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

Front

True or False: The legs of a right triangle are always adjacent to the right angle.

Back

True.

Front

In the Pythagorean Theorem, what does 'c' represent?

Back

'c' represents the length of the hypotenuse.

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 relationship between the areas of the squares on the legs and the hypotenuse?

Back

The area of the square on the hypotenuse is equal to the sum of the areas of the squares on the legs.

Front

If the hypotenuse is 10 units and one leg is 6 units, how do you find the other leg?

Back

Use the Pythagorean Theorem: c² = a² + b²; 10² = 6² + b²; 100 = 36 + b²; b² = 64; b = 8 units.

Front

What is a right triangle?

Back

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

Front

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

Back

No, the Pythagorean Theorem only applies to right triangles.