Pythagorean Thereom

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

Right triangle.

Front

What is the Pythagorean Theorem formula?

Back

a² + b² = c², where c is the hypotenuse.

Front

What is the hypotenuse in a right triangle?

Back

The side opposite the right angle, and the longest side of the triangle.

Front

If a right triangle has legs of length 3 and 4, what is the length of the hypotenuse?

Back

5 (using the Pythagorean Theorem: 3² + 4² = 5²).

Front

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

Back

The lengths of the two legs of the right triangle.

Front

What is the first step in using the Pythagorean Theorem to find a missing side?

Back

Identify the lengths of the two known sides.

Front

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

Back

8 (using the Pythagorean Theorem: 6² + b² = 10²).

Front

What is the relationship between the areas of squares constructed on the sides of a right triangle?

Back

The area of the square on the hypotenuse equals the sum of the areas of the squares on the other two sides.

Front

What is a common misconception about the Pythagorean Theorem?

Back

It can be applied to all types of triangles, when it only applies to right triangles.

Front

How can you verify if a triangle is a right triangle using the Pythagorean Theorem?

Back

Check if a² + b² = c² holds true for the triangle's sides.