Question

In triangle ABC, BC = 8, CA = 10, and AB = 12. If M is the midpoint of CA, and BP bisects angle B, find MP.

Answer 1

is therea picturre with this? this is a simple triangle but clarity needs to be on where the points are located,

Answer 2

No, that its the only information given

Answer 3

that is*

Answer 4

i think it is 3 - this the notion that P is located inside the triangle

Answer 5

How did you get your answer? Can you please explain?

Answer 6

what level math is this so I can know what you should have been taught thus far

Answer 7

high school geometry, learning about ratio and proportions and parts of similar triangles

Answer 8

are you even there?

Answer 9

yes

Answer 10

Wow

Answer 11

What have you been doing all this time? lol

Answer 12

i am thinking of how to do this

Answer 13

I don't think the picture right about point P

Answer 14

Bisect angle does NOT divide opposite side evenly!

Answer 15

i have this uncanny urge to use coordinate geometry to place this triangle on a plane and find equations until something relevant happens

Answer 16

You're way too .. hold on, I'm busy

Answer 17

I'm back!
I'm thinking of applying the golden ratio rule because it's not right triangle!

Answer 18

M(16.5, sqrt(43.25)/2)
this seems like a lot more than i would expect in geometry
perhaps it was not meant to be...

golden ratio rule? this is news to me

Answer 19

It's a rule applies for bisect angle!

Answer 20

Very interesting, I learn it from solving recent several geometry problems

Answer 21

a/b = (a + b)/a

Answer 22

You should check out the bisect angle to see illustrated picture!

Answer 23

Since AC is divided into half MC and MA,
then the bisect angle line divides MC into PC and PM

Answer 24

In other thought:
8/ x = 12/ ( 10 -x)
12x = 80 - 8x
->20x = 80
=> x = 4 ( AP)
then 10 - x = 6 ( BP)
Thus PM = PB - BM = 6 - 5 = 1

Answer 25

@AccessDenied check it out!