anonymous
  • anonymous
Find the perimeter of the triangle at the right. Assume that the line segments are tangent to the circle.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
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anonymous
  • anonymous
@jim_thompson5910
anonymous
  • anonymous
@MathLegend

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jim_thompson5910
  • jim_thompson5910
if you cut the figure up like this |dw:1353204276912:dw|
anonymous
  • anonymous
mmmhhhmmm
jim_thompson5910
  • jim_thompson5910
you'll see that 2 triangles form
anonymous
  • anonymous
yes
jim_thompson5910
  • jim_thompson5910
namely, the smaller triangles inside the larger ones
jim_thompson5910
  • jim_thompson5910
highlighted here|dw:1353204485777:dw|
anonymous
  • anonymous
ohk
jim_thompson5910
  • jim_thompson5910
so if we know this |dw:1353204546161:dw|
jim_thompson5910
  • jim_thompson5910
then we can say this as well |dw:1353204577254:dw|
anonymous
  • anonymous
ohk yes i see that
anonymous
  • anonymous
so then can we say that the other side is 9 as well?
jim_thompson5910
  • jim_thompson5910
let me think, I'm looking for justification that the two larger triangles are congruent
anonymous
  • anonymous
ohk
jim_thompson5910
  • jim_thompson5910
oh wait, not sure why i didn't see this til now lol
jim_thompson5910
  • jim_thompson5910
|dw:1353204871377:dw|
jim_thompson5910
  • jim_thompson5910
the smaller two triangles in the lower right corner are isosceles triangles
jim_thompson5910
  • jim_thompson5910
you have to draw another line to see this if you can't
jim_thompson5910
  • jim_thompson5910
so that's why we can add the extra 9 on there the 6 comes from the fact that 9+6 = 15
jim_thompson5910
  • jim_thompson5910
so to finish things off, we get this full picture |dw:1353204976827:dw|
anonymous
  • anonymous
ohk why did u choose 9 and 6... those arent the only things that add together to get 15
jim_thompson5910
  • jim_thompson5910
yes, but the 9 is locked in, which is why the second segment has to be a 6
jim_thompson5910
  • jim_thompson5910
if you don't see what I mean, go back to a previous drawing where I show how the second 9 (the lower 9) shows up
anonymous
  • anonymous
i get it so 58 is the answer
jim_thompson5910
  • jim_thompson5910
yep

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