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anonymous
 3 years ago
Find the perimeter of the triangle at the right. Assume that the line segments are tangent to the circle.
anonymous
 3 years ago
Find the perimeter of the triangle at the right. Assume that the line segments are tangent to the circle.

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

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

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

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1highlighted heredw:1353204485777:dw

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

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0so then can we say that the other side is 9 as well?

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

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

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1dw:1353204871377:dw

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

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

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

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0ohk why did u choose 9 and 6... those arent the only things that add together to get 15

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

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.1if 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
 3 years ago
Best ResponseYou've already chosen the best response.0i get it so 58 is the answer
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