Pythagorean Theorem Mini-Game

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 is the formula to find the hypotenuse in a right triangle?

Back

To find the hypotenuse (c) in a right triangle, use the formula: c = √(a² + b²).

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem only applies to right triangles.

Front

If a = 3 and b = 4, what is the length of the hypotenuse (c)?

Back

c = √(3² + 4²) = √(9 + 16) = √25 = 5.

Front

True or False: The longest side of a right triangle is called the hypotenuse.

Back

True.

Front

What is the relationship between the sides of a right triangle?

Back

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Front

If the sides of a triangle are 5, 12, and 13, does it form a right triangle?

Back

Yes, because 5² + 12² = 25 + 144 = 169 = 13².

Front

What is the value of c if a = 6 and b = 8?

Back

c = √(6² + 8²) = √(36 + 64) = √100 = 10.

Front

True or False: The Pythagorean Theorem can be used for any triangle.

Back

False, it only applies to right triangles.

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.