Pythagorean Theorem Unit Assessment

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 is expressed as: c² = a² + b².

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem only applies to right triangles.

Front

If one side of a right triangle is 6 meters and the other side is 8 meters, what is the length of the hypotenuse?

Back

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

Front

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

Back

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

What is the simplified form of √(a²b²)?

Back

The simplified form is ab.

Front

What does it mean for a triangle to be scalene?

Back

A scalene triangle is a triangle in which all three sides have different lengths.

Front

What does it mean for a triangle to be isosceles?

Back

An isosceles triangle is a triangle that has at least two sides of equal length.

Front

What is the formula for finding the length of the diagonal (d) in a rectangular box with length (l), width (w), and height (h)?

Back

The formula is d = √(l² + w² + h²).

Front

How do you simplify the radical √(20a²b⁴)?

Back

The simplified form is 2ab²√5.

Front

What is the condition for three lengths to form a triangle?

Back

The sum of the lengths of any two sides must be greater than the length of the third side.