anonymous
  • anonymous
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=?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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sasogeek
  • sasogeek
do you know the cosine rule?
anonymous
  • anonymous
Can you tell me it again? I forgot it
anonymous
  • anonymous
adjacent over hypotenuse

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anonymous
  • anonymous
Thanks @Nickv_1 So @sasogeek I just use that?
anonymous
  • anonymous
welcome
sasogeek
  • sasogeek
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?
sasogeek
  • sasogeek
see, the cosine rule says that if you have a triangle, |dw:1344729963224:dw| \(\huge cosA=\frac{b^2+c^2-a^2}{2bc} \) 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 :)
sasogeek
  • sasogeek
let's say for example using this triangle, |dw:1344730155989:dw| \(\huge cosA=\frac{16^2+8^2-12^2}{2(16*8)} \) we can solve for A by taking the cos inverse of the value on the right side of the equation.
anonymous
  • anonymous
"on the right side of the equation"?
sasogeek
  • sasogeek
yeah, every equation has 2 sides :) left side = right side | | | | \(cosA \ \ \ \ = \frac{16^2+8^2-12^2}{2(16*8)} \)
sasogeek
  • sasogeek
so to find A, we find the cos inverse of the right side, like this... \(\huge A = cos^{-1}(\frac{16^2+8^2-12^2}{2(16*8)}) \)
sasogeek
  • sasogeek
are we good to go?
anonymous
  • anonymous
I'm trying to solve. Just a sec
sasogeek
  • sasogeek
sure :)
anonymous
  • anonymous
I keep getting error when trying to solve using my TI83
sasogeek
  • sasogeek
hmm, let's see what i get..just a sec
sasogeek
  • sasogeek
angle A = 79.193 degrees :)
anonymous
  • anonymous
Thank you! So the final answer is 79.193?
sasogeek
  • sasogeek
no, you'll have to check the other angles to be sure which one is the largest :)
anonymous
  • anonymous
Oh o.k. So I use the same formula?
sasogeek
  • sasogeek
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 :)
anonymous
  • anonymous
Sounds good
anonymous
  • anonymous
:)
sasogeek
  • sasogeek
sorry i made a mistake somewhere, A=46.567 B=104.478 C=28.955
anonymous
  • anonymous
Oh :/ Was it the formula or a mistake in the arithmetic?
sasogeek
  • sasogeek
i just miscalculated, the formula is correct though, the last answers i put up are right... did u get the same thing?
anonymous
  • anonymous
Yes, I used the formula :) So obviously B is the largest angle
sasogeek
  • sasogeek
:) so u got the largest angle, what are u supposed to do with it?
anonymous
  • anonymous
Take cosine. So just a sec... -.2500?
sasogeek
  • sasogeek
yay! :) our work is done here :)
anonymous
  • anonymous
And I couldn't have done it without you! Thank you so much I really appreciate it :)
sasogeek
  • sasogeek
anytime :) you're welcome :)

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