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Find Harmonic mean using Arithmetic mean and Geometric mean using C++.
Here we will see how to get the Harmonic mean using the arithmetic mean and the geometric mean. The formula for these three means are like below −
- Arithmetic Mean − (a + b)/2
- Geometric Mean − $$\sqrt{\lgroup a*b\rgroup}$$
- Harmonic Mean − 2ab/(a+b)
The Harmonic Mean can be expressed using arithmetic mean and geometric mean using this formula −
$$HM=\frac{GM^{2}}{AM}$$
Example
#include <iostream> #include <cmath> using namespace std; double getHarmonicMean(int a, int b) { double AM, GM, HM; AM = (a + b) / 2; GM = sqrt(a * b); HM = (GM * GM) / AM; return HM; } int main() { int a = 5, b = 15; double res = getHarmonicMean(a, b); cout << "Harmonic Mean of " << a << " and " << b << " is " << res ; }
Output
Harmonic Mean of 5 and 15 is 7.5
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