Pythagorean Theorem

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.

Tags

CCSS.8.G.B.8

Front

What does 'c' represent in the Pythagorean Theorem?

Back

In the Pythagorean Theorem, 'c' represents the length of the hypotenuse, which is the longest side of a right triangle.

Tags

CCSS.8.G.B.8

Front

Is the statement 'a² + b³ = c⁴' true or false?

Back

False. The correct formula is a² + b² = c².

Tags

CCSS.8.G.B.8

Front

What is a perfect square?

Back

A perfect square is an integer that is the square of another integer. For example, 1, 4, 9, 16, and 25 are perfect squares.

Tags

CCSS.8.EE.A.2

Front

Which of the following is NOT a perfect square: 49, 36, 81, 82?

Back

82 is NOT a perfect square.

Tags

CCSS.8.EE.A.2

Front

If one side of a right triangle is 3 and the other side is 4, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: c² = 3² + 4² = 9 + 16 = 25, so c = √25 = 5.

Tags

CCSS.8.G.B.7

Front

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

Back

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

Tags

CCSS.8.G.B.8

Front

If a = 6 and b = 8, what is the length of c?

Back

Using the Pythagorean Theorem: c² = 6² + 8² = 36 + 64 = 100, so c = √100 = 10.

Tags

CCSS.8.G.B.7

Front

True or False: Side 'c' on a right triangle is ALWAYS the longest.

Back

True.

Front

What is the formula to find the length of a missing side in a right triangle?

Back

The formula is a² + b² = c², where 'c' is the hypotenuse and 'a' and 'b' are the other two sides.

Tags

CCSS.8.G.B.8