Unit 2 Pythagorean Theorem Review

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: a² + b² = c².

Front

What is a perfect square?

Back

A perfect square is a number that can be expressed as the square of an integer. For example, 1, 4, 9, 16, and 25 are perfect squares.

Front

Is 500 a perfect square?

Back

No, 500 is not a perfect square.

Front

If a triangle has legs of lengths 7 inches and 24 inches, how do you find the length of the hypotenuse?

Back

Use the Pythagorean Theorem: c = √(a² + b²) = √(7² + 24²) = √(49 + 576) = √625 = 25 inches.

Front

Do the segment lengths 9, 12, and 15 form a right triangle?

Back

Yes, they form a right triangle because 9² + 12² = 15² (81 + 144 = 225).

Front

What is the hypotenuse in a right triangle?

Back

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

Front

In a right triangle with legs of lengths 9 and 12, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: c = √(9² + 12²) = √(81 + 144) = √225 = 15.

Front

What is a prime number?

Back

A prime number is a natural number greater than 1 that has exactly two distinct positive divisors: 1 and itself.

Front

What are the factors of the number 7?

Back

The factors of 7 are 1 and 7, making it a prime number.

Front

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

Back

In a right triangle, the sum of the squares of the lengths of the two legs equals the square of the length of the hypotenuse.