## kmeds16 one year ago Circles A and B have radii 5 and 7 respectively, and the distance between their centers A and B is 5. If the two circles intersect at points M and N, MN = a sqrtof 6. What is a+b?

1. kmeds16

I can draw it or visualize, but then i got stucked up in the diagonals thingy, in which I know there is a way in finding it.. i just want an assistance. Please helpppp

2. shrutipande9

can i ask u 1 thing...wat is exactly a and b?

3. Jack1

@kmeds16 can u upload a pic of the problem?

4. kmeds16

@shrutipande9 the measure of MN is

5. kmeds16

@shrutipande9 is a square root of b. and if u add and b, it will result to 10

6. shrutipande9

MN is sqr rt of b or 6?

7. kmeds16

a sqrt of b = MN a + b = 10 the distance between the centers: 6

8. shrutipande9

ohhh..now i get it...wait

9. kmeds16

@shrutipande9 i drew it and will attach the file. from the way i understood it

10. kmeds16

@shrutipande9 i understood it like this (file). Red line = MN. Green line = 6.

11. kmeds16

@shrutipande9 so it will result looking like a kite right? in which we have 6 as diagonal1 and the diagonal2 is missing. I am confused on how to find the other diagonal, there is a propery of something for this

12. shrutipande9

ya u r right wid d diag...i m just tryin 2 remember d formula....:P

13. kmeds16

as what i can remember also, are of the kite = d1d2 divide by 2

14. shrutipande9

but for this to be a kite the diagonals need 2 be perpendicular bisectors....and we cannot just deduce it from that...

15. kmeds16

it is perpendicular =))

16. shrutipande9

its given?

17. kmeds16

it is really perpendicular XD from what we can see, because of theintersection of the two circles

18. shrutipande9

no..we cannot deduce it just by seeing...wait ill get u a better helper...:P @divu.mkr

19. kmeds16

@shrutipande9 ahhh ye right i get it, so, how can we get the other diagonal?? i have the answer here, it is 10

20. kmeds16

a plus be is 10

21. divu.mkr

well they are perpendicular...you need not to derive it just remember it

22. divu.mkr

familiar with trigo?

23. kmeds16

yeah

24. kmeds16

@divu.mkr YEAHHHH =)))

25. divu.mkr

|dw:1390642954599:dw|

26. kmeds16

@divu.mkr hey

27. divu.mkr

yep

28. divu.mkr

??

29. kmeds16

@divu.mkr |dw:1390642954599:dw|?? =))

30. divu.mkr

its looking perfect in my browser... :D

31. divu.mkr

lemme get a snap of it

32. kmeds16

huhu it doesnt on mine :*(

33. kmeds16

i can only see |dw:1390642954599:dw| huhuhuhuhu

34. divu.mkr

35. divu.mkr

is it ok now?

36. kmeds16

i can see it now

37. kmeds16

@divu.mkr i have a question

38. divu.mkr

39. kmeds16

how can you find the other diagonal, given diagonal 1 and all the sides??

40. eliassaab

Am I missing something? Is the attached graph accurate?

41. kmeds16

ya it is, wait, i will attach something regarding to my question

42. eliassaab

So MN=10

43. kmeds16

I understood inside details (i removed the circle) like this: @eliassaab. i know that it has something to do with kites and diagonals and properties and etc etc but i am rly confused.

44. kmeds16

@eliassaab i have to find MN, the red line. The answer is in the form of MN = a sqrtof b and a + b = 10

45. kmeds16

blue line = 6

46. kmeds16

@eliassaab heyyy =)))

47. eliassaab

What is the relation between your original question and this graph?

48. kmeds16

@eliassaab from this

49. eliassaab

But the distance between the centers of the two circles is not 5. Your original question is not 100% correct. This one is different.

50. kmeds16

@eliassaab oh my god i am so sorry,the original is 6. i am very sorry

51. kmeds16

Circles A and B have radii 5 and 7 respectively, and the distance between their centers A and B is 6. If the two circles intersect at points M and N, MN = a sqrtof b. What is a+b? ORIGINAL QUESTION. @eliassaab sorry! hahaha

52. kmeds16

@eliassaab heyyy =)))

53. eliassaab

I will do it for you after lunch.

54. kmeds16

@eliassaab ahm okay =)) I will wait for your reply! :D i will really do :)

55. eliassaab

Here is a quick solution

56. kmeds16

@eliassaab ahh! Ok i get it! Thank you!! :)

57. eliassaab

NP