Question

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?

Answer 1

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

Answer 2

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

Answer 3

@kmeds16 can u upload a pic of the problem?

Answer 4

@shrutipande9 the measure of MN is

Answer 5

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

Answer 6

MN is sqr rt of b or 6?

Answer 7

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

Answer 8

ohhh..now i get it...wait

Answer 9

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

Answer 10

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

Answer 11

@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

Answer 12

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

Answer 13

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

Answer 14

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

Answer 15

it is perpendicular =))

Answer 16

its given?

Answer 17

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

Answer 18

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

Answer 19

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

Answer 20

a plus be is 10

Answer 21

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

Answer 22

familiar with trigo?

Answer 23

yeah

Answer 24

@divu.mkr YEAHHHH =)))

Answer 25

@divu.mkr hey

Answer 26

yep

Answer 27

??

Answer 28

@divu.mkr ?? =))

Answer 29

its looking perfect in my browser... :D

Answer 30

lemme get a snap of it

Answer 31

huhu it doesnt on mine :*(

Answer 32

i can only see huhuhuhuhu

Answer 33

is it ok now?

Answer 34

i can see it now

Answer 35

@divu.mkr i have a question

Answer 36

yep..ask

Answer 37

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

Answer 38

Am I missing something?
Is the attached graph accurate?

Answer 39

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

Answer 40

So MN=10

Answer 41

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.

Answer 42

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

Answer 43

blue line = 6

Answer 44

@eliassaab heyyy =)))

Answer 45

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

Answer 46

@eliassaab from this

Answer 47

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

Answer 48

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

Answer 49

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

Answer 50

@eliassaab heyyy =)))

Answer 51

I will do it for you after lunch.

Answer 52

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

Answer 53

Here is a quick solution

Answer 54

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

Answer 55

NP