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FibonacciChick666
 one year ago
Where does the formula with respect to any triangle
\(Area=\frac{1}{2} absin\theta\) come from?
FibonacciChick666
 one year ago
Where does the formula with respect to any triangle \(Area=\frac{1}{2} absin\theta\) come from?

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ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0Area of triangle with sides \(\vec{a},~~\vec{b}\) is given by \(\dfrac{1}{2}\vec{a}\times \vec{b}\)

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.0I know, but this book is claiming that for any type of triangle the area formula stated above.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1444016348537:dw

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.0yea that's the rep. if you want the specific Q I can give that to you

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1add in a perpendicular to line 'a', call it h dw:1444016388804:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1if we know h, we can compute the area to be a*h/2

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1we can use trig to say sin(theta) = h/b h = b*sin(theta)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1then do a substitution

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.0thank you. It just wasn't happening for me there

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you're welcome

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.0sorry, I more thing. If the angle is obtuse, why does this work?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1444016751760:dw

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.0oh, cause you use 180theta

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1extend out segment a until it's a line dw:1444016801093:dw make sure that the tip is over the line

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.0thank you! I'm sorry this test is making me lose my mind

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.0(test tomorrow, Praxis)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1444016826079:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1and i'm sure at this point you can see how sin(180  theta) = h/b and you can do a bit of manipulation to end up with the same formula

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1good luck on it tomorrow

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.0Thanks... I'm just worried. It's been years since most of this stuff

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1http://tutorial.math.lamar.edu/pdf/Trig_Cheat_Sheet.pdf idk where on the sheet (if it's even on there), but one identity is sin(pi  x) = sin(x) sin(180  x) = sin(x)

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.0Thanks! Yea, this is the math specific praxis. I'm good on most stuff, but I get really really really bad test anxiety so any extra study material is appreciated!
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