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anonymous
 one year ago
Solve for the missing length and the other two angles in the triangle below.
I will add an attachment! Thank you!
anonymous
 one year ago
Solve for the missing length and the other two angles in the triangle below. I will add an attachment! Thank you!

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@mathmate could you help please?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Typically, when two sides of a triangle and the included angle is known, you can use the cosine rule to find the third side, and then sine rule to find the remaining angles.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay the cosine rule is a^2=b^2+c^22bc cosA So if I plug that in i get a^2=4^2+3^22(4)(3) cos(15 degrees) a^2 is approximately 1.8 sqrt 1.8 = aproximately 1.35 Is that right??

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Yes, 1.348251 to be closer, but yes, 1.35 is correct!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thank you! I have another question that is similar to this but the cosine rule does not work. I am supposed to find length a.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1However, you need more figures to do the sine rule calculations, or else you angles will be off!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0For my first question. To find the angles would I set up ratios? If so, i got 1.8/ sin(15)= 4/ sin b Then i would cross multiply??

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Exactly, but 1.348/sin(15)...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh yeah. how about my second problem?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1The same strategy for the second problem, since two sides and included angle are known. The fact that 108 > 90 degrees does not matter, because cos108 will then be negative, and everything will work out.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So use the cosine rule?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Yep, cosine rule, followed by sine rule (whenever 2 sides and included angle are known).

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I get: a^2=13^2+11^22(13)(11) cos(106) but when i plug this in i get 368.32 and the square root it and get: 19.205 is that right?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1I get 19.4520 , you can double check my number. Sorry, gtg.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I still get 19.205 but thank you!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1I think the angle is 108, unless I made a mistake. @haileycaroen

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1I think the angle is 108, unless I made a mistake. @HaileyJCaroen
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