## Godlovesme one year ago Find the point C such that AC and BC form a 2:3 ratio. (−1, 1.2) (−0.6, 3) (0, 2.4) (0.5, 2)

1. Godlovesme

2. Godlovesme

there ^^

3. anonymous

hmm i might start by finding the length of that line

4. anonymous

you can eliminate one of those answers right away because its not even on the line

5. Godlovesme

ok i got 7.81

6. Godlovesme

im following along (:

7. Godlovesme

@billj5 u there?

8. anonymous

i think maybe make a triangle that is dialated by 2/5 the size then find the lower right vertex

9. Godlovesme

sorry i dont get that :/

10. anonymous

i will show you

11. Godlovesme

ok thanks u so much :D

12. anonymous

|dw:1435085185173:dw|

13. anonymous

do you understand this triangle?

14. Godlovesme

yes thats how i got the length for the hypotenuse :D

15. anonymous

ok perfect, will you please dialate that triangle by 2/5 for me and then inscribe it into the other triangle upper left

16. anonymous

what are the length of the two sides after you shrink it?

17. anonymous

can you tell me?

18. Godlovesme

ok hold on im trying to figure it out hmm

19. anonymous

to dialate it multiply all sides by 2/5

20. anonymous

i think there are several ways to do this problem

21. anonymous

5 *(2/5) is one side 6*(2/5) is other, dont worry about hypotenuse

22. Godlovesme

2 and 2.4

23. anonymous

correct now lets draw that one inside the other

24. Godlovesme

okiee

25. anonymous

|dw:1435085718173:dw|

26. anonymous

now can you tell me the coordinates of that point

27. anonymous

from the drawing above

28. anonymous

|dw:1435085919003:dw|

29. Godlovesme

c (2... , 0. .. )

30. anonymous

??

31. Godlovesme

2. something sorry not sure with the decimal

32. anonymous

|dw:1435086039470:dw|

33. Godlovesme

its B :D

34. anonymous

yes but do you see why we used 2/5? that will give us the correct ratio 2:3

35. Godlovesme

yes because 2+3 is 5 :)

36. anonymous

yep, good :)

37. Godlovesme

thanks u sooooooooo much :DDDDD

38. anonymous

you're welcome

39. Godlovesme

:)