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janessia
Group Title
Find the perimeter of the triangle at the right. Assume that the line segments are tangent to the circle.
 2 years ago
 2 years ago
janessia Group Title
Find the perimeter of the triangle at the right. Assume that the line segments are tangent to the circle.
 2 years ago
 2 years ago

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janessia Group TitleBest ResponseYou've already chosen the best response.1
@jim_thompson5910
 2 years ago

janessia Group TitleBest ResponseYou've already chosen the best response.1
@MathLegend
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
if you cut the figure up like this dw:1353204276912:dw
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
you'll see that 2 triangles form
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
namely, the smaller triangles inside the larger ones
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
highlighted heredw:1353204485777:dw
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
so if we know this dw:1353204546161:dw
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
then we can say this as well dw:1353204577254:dw
 2 years ago

janessia Group TitleBest ResponseYou've already chosen the best response.1
ohk yes i see that
 2 years ago

janessia Group TitleBest ResponseYou've already chosen the best response.1
so then can we say that the other side is 9 as well?
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
let me think, I'm looking for justification that the two larger triangles are congruent
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
oh wait, not sure why i didn't see this til now lol
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
dw:1353204871377:dw
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
the smaller two triangles in the lower right corner are isosceles triangles
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
you have to draw another line to see this if you can't
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
so that's why we can add the extra 9 on there the 6 comes from the fact that 9+6 = 15
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
so to finish things off, we get this full picture dw:1353204976827:dw
 2 years ago

janessia Group TitleBest ResponseYou've already chosen the best response.1
ohk why did u choose 9 and 6... those arent the only things that add together to get 15
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
yes, but the 9 is locked in, which is why the second segment has to be a 6
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
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
 2 years ago

janessia Group TitleBest ResponseYou've already chosen the best response.1
i get it so 58 is the answer
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
yep
 2 years ago
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