Geometry 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: c² = a² + b².

Front

What is a right triangle?

Back

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

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

How do you find the length of the diagonal in a rectangular prism?

Back

To find the length of the diagonal (d) in a rectangular prism with length (l), width (w), and height (h), use the formula: d = √(l² + w² + h²).

Front

What is the area of a square?

Back

The area of a square is calculated by squaring the length of one of its sides. Area = side².

Front

What is the formula for the area of a rectangle?

Back

The area of a rectangle is calculated by multiplying its length (l) by its width (w). Area = l × w.

Front

What is the relationship between the sides of a 3-4-5 triangle?

Back

In a 3-4-5 triangle, the lengths of the sides are in a ratio that satisfies the Pythagorean Theorem: 3² + 4² = 5².

Front

What is the formula to calculate the perimeter of a rectangle?

Back

The perimeter (P) of a rectangle is calculated by adding the lengths of all sides: P = 2(l + w).

Front

What is the formula for the volume of a rectangular prism?

Back

The volume (V) of a rectangular prism is calculated by multiplying its length (l), width (w), and height (h): V = l × w × h.

Front

What is the area of a triangle?

Back

The area (A) of a triangle is calculated using the formula: A = 1/2 × base × height.