Pythagorean Review 2

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). Formula: c² = a² + b².

Tags

CCSS.8.G.B.8

Front

How do you find the length of the diagonal in a rectangle?

Back

To find the length of the diagonal (d) in a rectangle, use the Pythagorean Theorem: d = √(width² + length²).

Tags

CCSS.8.G.B.8

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Tags

CCSS.4.G.A.2

Front

What are the side lengths of a right triangle called?

Back

The side opposite the right angle is called the hypotenuse, while the other two sides are called the legs.

Front

Can a triangle with sides 4, 5, and 6 be a right triangle?

Back

No, because 4² + 5² = 16 + 25 = 41, which is not equal to 6² = 36.

Tags

CCSS.8.G.B.8

Front

What is the relationship between the areas of squares on the sides of a right triangle?

Back

The sum of the areas of the squares on the two legs is equal to the area of the square on the hypotenuse.

Tags

CCSS.8.G.B.8

Front

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

Back

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

Tags

CCSS.8.G.B.7

Front

What does it mean for a triangle to be a right triangle?

Back

It means that one of its angles measures exactly 90 degrees.

Tags

CCSS.4.G.A.2

Front

What is the formula to calculate the area of a right triangle?

Back

Area = (1/2) × base × height.

Tags

CCSS.6.G.A.1

Front

What is the significance of the hypotenuse in a right triangle?

Back

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