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britbrat4290
 2 years ago
Solve the triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. a = 7, b = 7, c = 5
britbrat4290
 2 years ago
Solve the triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. a = 7, b = 7, c = 5

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britbrat4290
 2 years ago
Best ResponseYou've already chosen the best response.0B. A = 69°, B = 69°, C = 42°??

mebs
 2 years ago
Best ResponseYou've already chosen the best response.0\[7^{2} = 7^{2} + 5^{2}  2(7)(5)cosA\]

britbrat4290
 2 years ago
Best ResponseYou've already chosen the best response.0my answers need to be in degrees

mebs
 2 years ago
Best ResponseYou've already chosen the best response.0you get \[cosA = \frac{ 25 }{ 70 }\] than do arc cosine. you get angle 69.07

britbrat4290
 2 years ago
Best ResponseYou've already chosen the best response.0i need degrees for a b n c ??

mebs
 2 years ago
Best ResponseYou've already chosen the best response.0you get angles 41.8 and 69.07. again

britbrat4290
 2 years ago
Best ResponseYou've already chosen the best response.0A. A = 70°, B = 70°, C = 40° B. A = 69°, B = 69°, C = 42° C. A = 42°, B = 69°, C = 69° D. A = 69°, B = 42°, C = 69°

genius12
 2 years ago
Best ResponseYou've already chosen the best response.1Note that the triangle is isosceles:dw:1375984026354:dw

britbrat4290
 2 years ago
Best ResponseYou've already chosen the best response.0ok ? still confused

genius12
 2 years ago
Best ResponseYou've already chosen the best response.1Now use the cosine law:\[\bf a^2=b^2+c^22bc \cos(A) \implies 5^2=7^2+7^22(7)(7)\cos(A)\]Note that 'A' is the angle opposite side BC. Now rearrange and solve for cos(A):\[\bf \implies \cos(A)=\frac{73}{98}=0.7445 \implies \cos^{1}(0.7445)=A=41.884 \ degrees\]

genius12
 2 years ago
Best ResponseYou've already chosen the best response.1Now because the triangle is isosceles, the remaining two angles B and C are equal so we can find each of them by subtracting A from 180 and dividing the result by 2:\[\bf \angle B=\angle C=\frac{ 180 41.884}{ 2 }=69.058 degrees\]Rounding off our results to the nearest degree we get:\[\bf \angle A =42 \ degrees\]\[\bf \angle B=\angle C=69 \ degrees\] @britbrat4290

genius12
 2 years ago
Best ResponseYou've already chosen the best response.1@britbrat4290 So your answer is correct =]
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