## anonymous one year ago 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

1. egbeach

\[a ^{2}+b ^{2}=c ^{2}\]

2. welshfella

|dw:1436293628743:dw|

3. welshfella

the 3 sets of 2 lines are equal

4. anonymous

Uh huh?

5. welshfella

|dw:1436293745761:dw|

6. welshfella

|dw:1436293847100:dw|

7. welshfella

from the above you should find the length of AB

8. welshfella

the 2 lines from A to where they touch the circle are equal and one of them = 17 - 4 = ?

9. welshfella

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10. anonymous

17-4=13

11. welshfella

right so the length of the other is also 13 so now you can find the length of AB

12. welshfella

from point B to where the line touches the circle is 10

13. anonymous

OKayy

14. welshfella

|dw:1436294197339:dw|

15. welshfella

and the other part = ? - look at the 3 lines indicating equality

16. anonymous

I see them...

17. welshfella

well we know the length on one and the other is the same

18. anonymous

Right

19. welshfella

so AB = 10 + ?

20. anonymous

13?

21. welshfella

right

22. anonymous

So its 23

23. welshfella

the whole thing is about one theorem tangents from one point to 2 points on a circle are congruent

24. welshfella

yes

25. anonymous

Thank you! Youve been such a big help! :D

26. welshfella

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27. welshfella

AS = AT

28. welshfella

yw