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 2 years 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=?
 2 years 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=?

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sasogeek
 2 years ago
Best ResponseYou've already chosen the best response.1do you know the cosine rule?

IloveCharlie
 2 years ago
Best ResponseYou've already chosen the best response.1Can you tell me it again? I forgot it

Nickv_1
 2 years ago
Best ResponseYou've already chosen the best response.0adjacent over hypotenuse

IloveCharlie
 2 years ago
Best ResponseYou've already chosen the best response.1Thanks @Nickv_1 So @sasogeek I just use that?

sasogeek
 2 years ago
Best ResponseYou've already chosen the best response.1we'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
 2 years ago
Best ResponseYou've already chosen the best response.1see, 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 :)

sasogeek
 2 years ago
Best ResponseYou've already chosen the best response.1let'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.

IloveCharlie
 2 years ago
Best ResponseYou've already chosen the best response.1"on the right side of the equation"?

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

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

IloveCharlie
 2 years ago
Best ResponseYou've already chosen the best response.1I'm trying to solve. Just a sec

IloveCharlie
 2 years ago
Best ResponseYou've already chosen the best response.1I keep getting error when trying to solve using my TI83

sasogeek
 2 years ago
Best ResponseYou've already chosen the best response.1hmm, let's see what i get..just a sec

sasogeek
 2 years ago
Best ResponseYou've already chosen the best response.1angle A = 79.193 degrees :)

IloveCharlie
 2 years ago
Best ResponseYou've already chosen the best response.1Thank you! So the final answer is 79.193?

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

IloveCharlie
 2 years ago
Best ResponseYou've already chosen the best response.1Oh o.k. So I use the same formula?

sasogeek
 2 years ago
Best ResponseYou've already chosen the best response.1yeah :) 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 :)

sasogeek
 2 years ago
Best ResponseYou've already chosen the best response.1sorry i made a mistake somewhere, A=46.567 B=104.478 C=28.955

IloveCharlie
 2 years ago
Best ResponseYou've already chosen the best response.1Oh :/ Was it the formula or a mistake in the arithmetic?

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

IloveCharlie
 2 years ago
Best ResponseYou've already chosen the best response.1Yes, I used the formula :) So obviously B is the largest angle

sasogeek
 2 years ago
Best ResponseYou've already chosen the best response.1:) so u got the largest angle, what are u supposed to do with it?

IloveCharlie
 2 years ago
Best ResponseYou've already chosen the best response.1Take cosine. So just a sec... .2500?

sasogeek
 2 years ago
Best ResponseYou've already chosen the best response.1yay! :) our work is done here :)

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

sasogeek
 2 years ago
Best ResponseYou've already chosen the best response.1anytime :) you're welcome :)
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