anonymous
  • anonymous
https://media.education2020.com/evresources/2072470_aed1423b-2f99-4b9c-ac83-42970821427d.png The circle is inscribed in the triangle. Find the length of AB. A. 14 cm B. 17 cm C. 23 cm D. 27 cm
Mathematics
katieb
  • katieb
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egbeach
  • egbeach
\[a ^{2}+b ^{2}=c ^{2}\]
welshfella
  • welshfella
|dw:1436293628743:dw|
welshfella
  • welshfella
the 3 sets of 2 lines are equal

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anonymous
  • anonymous
Uh huh?
welshfella
  • welshfella
|dw:1436293745761:dw|
welshfella
  • welshfella
|dw:1436293847100:dw|
welshfella
  • welshfella
from the above you should find the length of AB
welshfella
  • welshfella
the 2 lines from A to where they touch the circle are equal and one of them = 17 - 4 = ?
welshfella
  • welshfella
|dw:1436294046498:dw|
anonymous
  • anonymous
17-4=13
welshfella
  • welshfella
right so the length of the other is also 13 so now you can find the length of AB
welshfella
  • welshfella
from point B to where the line touches the circle is 10
anonymous
  • anonymous
OKayy
welshfella
  • welshfella
|dw:1436294197339:dw|
welshfella
  • welshfella
and the other part = ? - look at the 3 lines indicating equality
anonymous
  • anonymous
I see them...
welshfella
  • welshfella
well we know the length on one and the other is the same
anonymous
  • anonymous
Right
welshfella
  • welshfella
so AB = 10 + ?
anonymous
  • anonymous
13?
welshfella
  • welshfella
right
anonymous
  • anonymous
So its 23
welshfella
  • welshfella
the whole thing is about one theorem tangents from one point to 2 points on a circle are congruent
welshfella
  • welshfella
yes
anonymous
  • anonymous
Thank you! Youve been such a big help! :D
welshfella
  • welshfella
|dw:1436294552289:dw|
welshfella
  • welshfella
AS = AT
welshfella
  • welshfella
yw

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