anonymous
  • anonymous
PLEASE HELP: MEDAL AND FAN Solve the triangle. A = 51°, b = 11, c = 7
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
@campbell_st
anonymous
  • anonymous
can you help? @swamijatin2
swamijatin2
  • swamijatin2
what we have to find perimeter or area

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anonymous
  • anonymous
neither
anonymous
  • anonymous
lol wrong thing sorry
anonymous
  • anonymous
I need a (side a); C(angle c); and B(angle b)
anonymous
  • anonymous
@campbell_st
anonymous
  • anonymous
ok
swamijatin2
  • swamijatin2
or well that doesnt have to be a right triangle but
anonymous
  • anonymous
now what
anonymous
  • anonymous
@satellite73
anonymous
  • anonymous
how do i do this
anonymous
  • anonymous
draw a triangle that looks reasonably like this one then use the law of cosines
anonymous
  • anonymous
i have a triangle but how do i use the law of cosines (i know what it is just not how to do it)
anonymous
  • anonymous
\[a^2=b^2+c^2-2bc\cos(A)\] \[a^2=11^2+7^2-2\times 11\times 7\cos(51^\circ)\] and a calculator
swamijatin2
  • swamijatin2
To solve the traingle we need to find remaining side a and angles B and C. Use law of cosines a2 = b2 + c2 - 2bc cosA a2 = (11)2 + (7)2 - 2(11)(7) cos(51) a2 = 121 + 49 - 154 cos(51) a2 = 170 - 154(0.629) a2 = 170 - 96.866 a2 = 73.134 a = 8.55
anonymous
  • anonymous
i got that ok so how about the and C
anonymous
  • anonymous
B and C angles
swamijatin2
  • swamijatin2
Now use law of sines sinA/a = sinB/b sin(51)/ 8.55 = sin(B)/11 sin(B) = 11[sin(51)/ 8.55] sin(B) = 11[0.777/8.55] B = sin-1(0.999) B = 87.43°
anonymous
  • anonymous
ok and C?
swamijatin2
  • swamijatin2
Sum of angles in triangle = 180° A + B + C = 180 C = 180 - (A + B) C = 180 - (51 + 87.43) C = 180 - 138.43 C = 41.57°
anonymous
  • anonymous
http://www.wolframalpha.com/input/?i=sqrt%2811^2%2B7^2-2*11*7*cos%2851%29%29
anonymous
  • anonymous
because none of those are my answers
swamijatin2
  • swamijatin2
then you are incorrect anywhere
anonymous
  • anonymous
what?
swamijatin2
  • swamijatin2
did u get the answers
anonymous
  • anonymous
8.5 is a which is only for one answer choice where B = 85.9 and C = 39.1
anonymous
  • anonymous
a ≈ 12.8, C ≈ 39.1, B ≈ 89.9 a ≈ 8.5, C ≈ 39.1, B ≈ 89.9 No triangles possible a ≈ 12.8, C ≈ 43.1, B ≈ 85.9
swamijatin2
  • swamijatin2
you r correct but according to question we have to do
anonymous
  • anonymous
@Loser66
anonymous
  • anonymous
please finish helping me @swamijatin2
anonymous
  • anonymous
@phi
anonymous
  • anonymous
we have done a lot but it doesn't match my answer choices
phi
  • phi
can you re-post the question and the answer you got? It would take a long time to read through all of the posts up above.
anonymous
  • anonymous
sure hold on
anonymous
  • anonymous
Solve the triangle. A = 51°, b = 11, c = 7
anonymous
  • anonymous
Work From above: a2 = b2 + c2 - 2bc cosA a2 = (11)2 + (7)2 - 2(11)(7) cos(51) a2 = 121 + 49 - 154 cos(51) a2 = 170 - 154(0.629) a2 = 170 - 96.866 a2 = 73.134 a = 8.55 Now use law of sines sinA/a = sinB/b sin(51)/ 8.55 = sin(B)/11 sin(B) = 11[sin(51)/ 8.55] sin(B) = 11[0.777/8.55] B = sin-1(0.999) B = 87.43° Sum of angles in triangle = 180° A + B + C = 180 C = 180 - (A + B) C = 180 - (51 + 87.43) C = 180 - 138.43 C = 41.57°
anonymous
  • anonymous
My answer choices are: a ≈ 12.8, C ≈ 39.1, B ≈ 89.9 a ≈ 8.5, C ≈ 39.1, B ≈ 89.9 No triangles possible a ≈ 12.8, C ≈ 43.1, B ≈ 85.9
anonymous
  • anonymous
so... what do we do?
phi
  • phi
side a is correct. a= 8.55 redo your work for angle B
phi
  • phi
the problem is when you do the work for angle B, you need lots of decimals of accuracy. for side a, don't round it to 8.55. use all the digits your calculator has.
anonymous
  • anonymous
ok
phi
  • phi
it might be more accurate to first find angle C sin C = (7*sin51)/8.548956649
anonymous
  • anonymous
what do you get for angle B i got the same answer
anonymous
  • anonymous
I got 0.63633750 Radians for C?
phi
  • phi
sin C = 0.63633750 C= asin( 0.63633750 ) = 39.519 deg
phi
  • phi
summarizing a= 8.55, b= 11, c= 7 A= 51, B= 89.5, C= 39.5 the best match to your choices is choice B
phi
  • phi
if we use a=8.6 (round from 8.55) we would get C= 39.2 and B= 89.8 which is even closer to choice B.
phi
  • phi
because they use ≈ which means approximately it is reasonable to pick choice B. And the other choices are not "in the ball park"

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