Pythagorean Theorem Introduction Flashcardizz #1

Front

What does the Pythagorean Theorem state about the sides of a right triangle?

Back

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).

Front

What is the formula for the Pythagorean Theorem?

Back

a² + b² = c²

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

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

Back

5 (using the Pythagorean Theorem: 3² + 4² = 9 + 16 = 25, so c = √25 = 5).

Front

What is the inverse operation of squaring a number?

Back

Square root.

Front

In the equation a² + b² = c², what do a and b represent?

Back

The lengths of the legs of the right triangle.

Front

Is the hypotenuse always the longest side in a right triangle?

Back

Yes, the hypotenuse is always the longest side.

Front

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

Back

The sum of the squares of the two shorter sides equals the square of the longest side.

Front

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

Back

8 (using the Pythagorean Theorem: 6² + b² = 10², so 36 + b² = 100, b² = 64, b = 8).

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

Right triangle.