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 type of triangle can the Pythagorean Theorem be applied to?

Back

The Pythagorean Theorem can only be used with right triangles.

Front

Does the set of numbers 20, 25, 15 represent a right triangle?

Back

Yes, because 20² + 15² = 400 + 225 = 625 = 25².

Front

How do you determine if a triangle is a right triangle using the Pythagorean Theorem?

Back

To determine if a triangle is a right triangle, check if the square of the longest side equals the sum of the squares of the other two sides.

Front

What is the opposite operation of squaring a number?

Back

The opposite of squaring a number is taking the square root.

Front

If a triangle has sides of lengths 5 meters, 6 meters, and 8 meters, is it a right triangle?

Back

No, because 5² + 6² = 25 + 36 = 61, which is not equal to 8² (64).

Front

What is the formula to find the distance between two points on a coordinate grid?

Back

The distance formula is: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the approximate distance between two points if the coordinates are (3, 4) and (6, 8)?

Back

Using the distance formula: d = √((6-3)² + (8-4)²) = √(3² + 4²) = √(9 + 16) = √25 = 5 units.

Front

What is a right triangle?

Back

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

Front

What are the sides of a right triangle called?

Back

The sides of a right triangle are called the legs (the two shorter sides) and the hypotenuse (the longest side opposite the right angle).