Pythagorean Theorem Flashcard

Front

What is the Pythagorean Theorem?

Back

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). Formula: a² + b² = c².

Front

What is the Converse of the Pythagorean Theorem?

Back

If the sum of the squares of the lengths of two sides of a triangle is equal to the square of the length of the third side, then the triangle is a right triangle.

Front

What are the legs of a right triangle?

Back

The two sides of a right triangle that form the right angle; they are the two smaller sides.

Front

What is the hypotenuse in a right triangle?

Back

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

Front

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

Back

c = 40, where c represents the length of the hypotenuse.

Front

True or False: Sides a and b are called legs in a right triangle.

Back

True.

Front

What is the formula to find the length of the hypotenuse?

Back

c = √(a² + b²).

Front

What is the relationship between the sides of a right triangle according to the Pythagorean Theorem?

Back

The square of the hypotenuse is equal to the sum of the squares of the other two sides.

Front

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

Back

c = √(3² + 4²) = √(9 + 16) = √25 = 5.

Front

What does it mean if a triangle does not satisfy the Pythagorean Theorem?

Back

It means the triangle is not a right triangle.