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anonymous
 one year ago
pythagorean theorem: C = √a^2 + √b^2
Should c = √a^2 + √b^2 have a + symbol in front of the c? Why or why not?
@jim_thompson5910
anonymous
 one year ago
pythagorean theorem: C = √a^2 + √b^2 Should c = √a^2 + √b^2 have a + symbol in front of the c? Why or why not? @jim_thompson5910

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jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3the pythagorean theorem is a^2 + b^2 = c^2

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3if you apply square roots to both sides, you get \[\Large a^2 + b^2 = c^2\] \[\Large \sqrt{a^2 + b^2} = \sqrt{c^2}\] notice how there is one root on the left side and it covers ALL of the left side

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3on the right side, the square and square root cancel, leaving just c behind

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3so that's why \[\Large c = \sqrt{a^2 + b^2}\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3and c is some distance c is never negative so you don't have to worry about the plus/minus here. just focus on the plus

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1433638788963:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3there won't be a plus/minus symbol

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3there shouldn't be one

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3it's simply \[\Large c = \sqrt{a^2 + b^2}\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3and it is NOT this \[\Large c = \pm\sqrt{a^2 + b^2}\] the minus implies that we have negative distance which doesn't make sense

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1433638938313:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3they are the same, but you shouldn't have a + at all dw:1433639149567:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yea, its just that the question is asking if the + should be in front of the c, why or why not. but if its the same with the + on either side, then whats the reason for not putting the sign?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3dw:1433639457958:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3c represents the length of the hypotenuse (the longest side of a right triangle)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3any time we talk about lengths or distances, they are either 0 or some positive number they are NEVER ever negative. Negative distance or length doesn't make any sense so that's why c is never negative

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3so instead of saying c = plus or minus 10 we just say c = +10 or just c = 10

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3the c = minus 10 = 10 makes no sense

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh i see. ok thanks!

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3you're welcome
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