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Find the perimeter of the triangle at the right. Assume that the line segments are tangent to the circle.
 one year ago
 one year ago
Find the perimeter of the triangle at the right. Assume that the line segments are tangent to the circle.
 one year ago
 one year ago

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jim_thompson5910Best ResponseYou've already chosen the best response.1
if you cut the figure up like this dw:1353204276912:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
you'll see that 2 triangles form
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
namely, the smaller triangles inside the larger ones
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
highlighted heredw:1353204485777:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
so if we know this dw:1353204546161:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
then we can say this as well dw:1353204577254:dw
 one year ago

janessiaBest ResponseYou've already chosen the best response.1
so then can we say that the other side is 9 as well?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
let me think, I'm looking for justification that the two larger triangles are congruent
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
oh wait, not sure why i didn't see this til now lol
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
dw:1353204871377:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
the smaller two triangles in the lower right corner are isosceles triangles
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
you have to draw another line to see this if you can't
 one year ago

jim_thompson5910Best 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
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
so to finish things off, we get this full picture dw:1353204976827:dw
 one year ago

janessiaBest 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
 one year ago

jim_thompson5910Best 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
 one year ago

jim_thompson5910Best 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
 one year ago

janessiaBest ResponseYou've already chosen the best response.1
i get it so 58 is the answer
 one year ago
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