how would I go about proving this?

i manipulated the expression so that but im not sure if that proves anything

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- May 1st 2013, 02:12 PMkingsolomonsgraveprove srt(ab) => (a+b)/2
how would I go about proving this?

i manipulated the expression so that but im not sure if that proves anything - May 1st 2013, 02:25 PMPlatoRe: prove srt(ab) => (a+b)/2
- May 1st 2013, 05:38 PMProve ItRe: prove srt(ab) => (a+b)/2
- May 2nd 2013, 04:31 AMkingsolomonsgraveRe: prove srt(ab) => (a+b)/2
yes! I knew something was off. It should have been:

it should have been:

Prove for all positive integers. - May 2nd 2013, 05:26 AMProve ItRe: prove srt(ab) => (a+b)/2
- May 2nd 2013, 08:23 AMabualabedRe: prove srt(ab) => (a+b)/2
geometrically

- May 3rd 2013, 08:52 AMkingsolomonsgraveRe: prove srt(ab) => (a+b)/2
How do we know the vertical line is sqrt(ab)?

- May 3rd 2013, 09:57 AMemakarovRe: prove srt(ab) => (a+b)/2
- May 3rd 2013, 12:16 PMkingsolomonsgraveRe: prove srt(ab) => (a+b)/2
Thanks! How does that tell me that that length is ?

I can see that the smaller triangle is proportional to the larger and that they have the same angles.

The most I can come up with is that if a = b then you get a big right triangle with angles of 45 on either side. That way and and so the line is - May 3rd 2013, 12:33 PMemakarovRe: prove srt(ab) => (a+b)/2
- May 3rd 2013, 12:44 PMPlatoRe: prove srt(ab) => (a+b)/2