What is harmonic mean?
The harmonic mean is a measure of how many people you would need to share a fixed amount of resources in order to keep everyone equally satisfied. For example, if you have 10 people and you want to divide up two pies, you would need an even division of the pies between all 10 people. If you have 10 people and you want to divide up three pies, you would need six people to have two pies each and four people to have one piece. This type of division is known as a harmonic
What is the harmonic mean of a triangle?
You can find the harmonic mean of a triangle by dividing the total area of the triangle by a point on the triangle. The area of a triangle is equal to the square of the length of any one of its sides, so the harmonic mean of a triangle is equal to the length of any one side divided by the total area.
What is the harmonic mean of a pentagon?
The sum of the areas of the internal angles of a pentagon is 540, so the area of each internal angle equals 𝜋/5, where 𝜋 is the measure of the internal angle, which is a right angle. The harmonic mean of a pentagon is equal to the sum of 𝜋 divided by the sum of the area of the internal angles.
What is the harmonic mean of a rectangle?
To find the harmonic mean of a rectangle, you need to divide the perimeter into two even sections and take the average of the two sides. The two sides of the rectangle are the sides opposite of the two pairs of legs that create the rectangle.
What is the harmonic mean of a square?
The harmonic mean is the average of the reciprocal of the values in a list of numbers. The harmonic mean of a square is equal to one divided by the sum of the reciprocals of the numbers in the list. In other words, the harmonic mean of a square is equal to the size of a square with sides equal to the average of the sides of the squares whose areas are each equal to the list of numbers.