anonymous
  • anonymous
given that a=25 b=43 and c=17, solve triangle abc
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
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campbell_st
  • campbell_st
so are they side measurements or angles measurements..?
anonymous
  • anonymous
not sure thats all the question that its asking!!

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campbell_st
  • campbell_st
so the letters in the question are all lower case..?
anonymous
  • anonymous
oh ... it looks like this
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campbell_st
  • campbell_st
ok... that makes more sense, you have been given 2 angles and 1 side
anonymous
  • anonymous
oh
campbell_st
  • campbell_st
lets start with the easy one if angle A = 25 and angle B = 43 what is the measure of angle C..?
anonymous
  • anonymous
ummmm... i know im gonna sound dumb! but im not sure :(
campbell_st
  • campbell_st
here is a diagram |dw:1436219098207:dw|
campbell_st
  • campbell_st
ok... so the angles in a triangle add to 180 degrees so C = 180 - 25 - 43 what would you say C is..?
anonymous
  • anonymous
C=112
campbell_st
  • campbell_st
great... so you have eliminated 2 answer choices... its between A and B so do you know the law of sines...?
anonymous
  • anonymous
not really
campbell_st
  • campbell_st
you need the law of sines to find a and b |dw:1436219276410:dw|
campbell_st
  • campbell_st
wow... that makes it hard to answer the question so the law of sines is uses the side and angle measures to find other sides and angles the law you'll need is \[\frac{c}{\sin(C)} = \frac{a}{\sin(A)}\] have you seen that before..?
anonymous
  • anonymous
yea yea... but i dont remember a thing!
anonymous
  • anonymous
i dont mean to sound mean or anything ! but im on timed test and i have 5 mins left... is it possible if you can help me faster ? thank you
campbell_st
  • campbell_st
ok... then here is a quick and dirty method to solve the problem... there is this stuff about triangles that says the longest side is opposite the largest angle the shortest side is opposite the smallest angle the middles length side is opposite the middle angle measure so the angles in order of side are Angle C = 112 side c = 17 Angle B = 43 side b = 12,5 or 7.5 Angle A = 25 side a = 12.5 or 7.5 so using the facts about sides and angles... what side matches angle A and which side matches angle A
campbell_st
  • campbell_st
think about the shortest is opposite the smallest angle
campbell_st
  • campbell_st
this quick an dirty method eliminates the need for calculations in this question
anonymous
  • anonymous
so would the answer be B ??
campbell_st
  • campbell_st
that would be my guess
anonymous
  • anonymous
alright... thank you very much campbell_st !

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