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Mathematics 10 Online
OpenStudy (anonymous):

@ganeshie8

OpenStudy (anonymous):

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OpenStudy (anonymous):

S = 1/2 AH . BC I used distance formula and found BC.then i found AH an then i calculate it...

ganeshie8 (ganeshie8):

that works in this particular case, but wont work for all triangles right ?

OpenStudy (anonymous):

yes :) and do you have another proof?

ganeshie8 (ganeshie8):

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ganeshie8 (ganeshie8):

we use the same idea uve used to prove the formula for ANY triangle

ganeshie8 (ganeshie8):

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ganeshie8 (ganeshie8):

u wanto find the triangle area, given coordinates of its vertices

OpenStudy (anonymous):

should we use Heron 's formula?

ganeshie8 (ganeshie8):

thats a good idea too, find lengths of all sides using distance formula, and apply them in heron's formula but after that u wud ask, how to prove heron's formula

ganeshie8 (ganeshie8):

thats why im thinking, not to use it ;)

OpenStudy (anonymous):

so to prove sth we shouln't use any formula?

ganeshie8 (ganeshie8):

we can use formula that we know how to prove. we dont knw how to prove heron's formula yet, so lets not use it

ganeshie8 (ganeshie8):

lets try to find it doing, exactly wat u have done in the starting

ganeshie8 (ganeshie8):

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ganeshie8 (ganeshie8):

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