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Mathematics 18 Online
OpenStudy (coexist2):

Find the length of the altitude drawn to the hypotenuse. The triangle is not drawn to scale. *I can draw the picture if needed.*

ganeshie8 (ganeshie8):

How do you think the question can be answered without the picture ?

OpenStudy (coexist2):

|dw:1464286162261:dw|

ganeshie8 (ganeshie8):

Nice, thanks!

OpenStudy (sachintha):

Isn't there anything missing? o.O

ganeshie8 (ganeshie8):

simply multiply 8 and 15 then take the squareroot

OpenStudy (coexist2):

okay ill look at it

OpenStudy (sachintha):

Never knew that theorem. :3

OpenStudy (coexist2):

so the final answer should be 2 sqrt 30?

ganeshie8 (ganeshie8):

Perfect!

ganeshie8 (ganeshie8):

@Sachintha we can use this theorem to prove AM-GM inequality

OpenStudy (coexist2):

thanks for the help.

OpenStudy (sachintha):

AM-GM ? Is it arithmetic and geometric?

ganeshie8 (ganeshie8):

Yes http://i.stack.imgur.com/SAk61.png

ganeshie8 (ganeshie8):

Notice how (a+b)/2 is always greater than sqrt(ab)

ganeshie8 (ganeshie8):

*greater than or equal to

OpenStudy (sachintha):

Did some research on AGM. Never done those. Anyway thanks for the info ganeshie. :)

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