Changes
From Karnataka Open Educational Resources
244 bytes added
, 04:42, 13 August 2014
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| Also 'b' is the geometric mean between 'a' and 'c'<br> | | Also 'b' is the geometric mean between 'a' and 'c'<br> |
| That is b = <math>\sqrt{ac}</math><br> | | That is b = <math>\sqrt{ac}</math><br> |
− | We also write this as <math>b^{2}</math> = ac.<br> | + | We also write this as <math>b^{2}</math> = ac.-------->2<br> |
− | Now substitute | + | Now substitute thia value In equation 1,<br> |
| + | 2ab = ac + bc<br> |
| + | Take common in right hand side ( c is common )<br> |
| + | 2ab = c(a + b)<br> |
| + | Divide both side by (a + b),<br> |
| + | <math>\frac{2ab} {a + b}</math><br> |
| + | Hence 'c' is the harmonic between 'a' and 'b'. |