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A triangular metal frame has sides 8 feet, 12 feet, and 16 feet. Find the measure of the largest angle between any two sides of the frame.
The cosine of the largest angle=?
 one year ago
 one year ago
A triangular metal frame has sides 8 feet, 12 feet, and 16 feet. Find the measure of the largest angle between any two sides of the frame. The cosine of the largest angle=?
 one year ago
 one year ago

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sasogeekBest ResponseYou've already chosen the best response.1
do you know the cosine rule?
 one year ago

IloveCharlieBest ResponseYou've already chosen the best response.1
Can you tell me it again? I forgot it
 one year ago

Nickv_1Best ResponseYou've already chosen the best response.0
adjacent over hypotenuse
 one year ago

IloveCharlieBest ResponseYou've already chosen the best response.1
Thanks @Nickv_1 So @sasogeek I just use that?
 one year ago

sasogeekBest ResponseYou've already chosen the best response.1
we're not exactly sure if it's a right angled triangle, so we can't also conclude that it's adjacent over hypotenuse.... where is the adjacent, and where is the hypotenuse?
 one year ago

sasogeekBest ResponseYou've already chosen the best response.1
see, the cosine rule says that if you have a triangle, dw:1344729963224:dw \(\huge cosA=\frac{b^2+c^2a^2}{2bc} \) we can substitute the values and solve for A (each angle) and see which one is the largest :) then we can find the cosine of that largest angle :)
 one year ago

sasogeekBest ResponseYou've already chosen the best response.1
let's say for example using this triangle, dw:1344730155989:dw \(\huge cosA=\frac{16^2+8^212^2}{2(16*8)} \) we can solve for A by taking the cos inverse of the value on the right side of the equation.
 one year ago

IloveCharlieBest ResponseYou've already chosen the best response.1
"on the right side of the equation"?
 one year ago

sasogeekBest ResponseYou've already chosen the best response.1
yeah, every equation has 2 sides :) left side = right side     \(cosA \ \ \ \ = \frac{16^2+8^212^2}{2(16*8)} \)
 one year ago

sasogeekBest ResponseYou've already chosen the best response.1
so to find A, we find the cos inverse of the right side, like this... \(\huge A = cos^{1}(\frac{16^2+8^212^2}{2(16*8)}) \)
 one year ago

IloveCharlieBest ResponseYou've already chosen the best response.1
I'm trying to solve. Just a sec
 one year ago

IloveCharlieBest ResponseYou've already chosen the best response.1
I keep getting error when trying to solve using my TI83
 one year ago

sasogeekBest ResponseYou've already chosen the best response.1
hmm, let's see what i get..just a sec
 one year ago

sasogeekBest ResponseYou've already chosen the best response.1
angle A = 79.193 degrees :)
 one year ago

IloveCharlieBest ResponseYou've already chosen the best response.1
Thank you! So the final answer is 79.193?
 one year ago

sasogeekBest ResponseYou've already chosen the best response.1
no, you'll have to check the other angles to be sure which one is the largest :)
 one year ago

IloveCharlieBest ResponseYou've already chosen the best response.1
Oh o.k. So I use the same formula?
 one year ago

sasogeekBest ResponseYou've already chosen the best response.1
yeah :) i'll do it and tell you what i got, in the mean time, do it yourself and let me know what you got too :)
 one year ago

sasogeekBest ResponseYou've already chosen the best response.1
sorry i made a mistake somewhere, A=46.567 B=104.478 C=28.955
 one year ago

IloveCharlieBest ResponseYou've already chosen the best response.1
Oh :/ Was it the formula or a mistake in the arithmetic?
 one year ago

sasogeekBest ResponseYou've already chosen the best response.1
i just miscalculated, the formula is correct though, the last answers i put up are right... did u get the same thing?
 one year ago

IloveCharlieBest ResponseYou've already chosen the best response.1
Yes, I used the formula :) So obviously B is the largest angle
 one year ago

sasogeekBest ResponseYou've already chosen the best response.1
:) so u got the largest angle, what are u supposed to do with it?
 one year ago

IloveCharlieBest ResponseYou've already chosen the best response.1
Take cosine. So just a sec... .2500?
 one year ago

sasogeekBest ResponseYou've already chosen the best response.1
yay! :) our work is done here :)
 one year ago

IloveCharlieBest ResponseYou've already chosen the best response.1
And I couldn't have done it without you! Thank you so much I really appreciate it :)
 one year ago

sasogeekBest ResponseYou've already chosen the best response.1
anytime :) you're welcome :)
 one year ago
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