## Brad1996 3 years ago Geometry help please? G is the incenter of Δ ABC. m∠A = 58 m∠B = 64 m∠C = 58 What is the m∠BCE? 36 27 32 29

picture ina sec

How do I solve this?

that can't be right i ended up with 119 :l

5. CliffSedge

What do you know about incenters?

6. jazy

m∠A = 58 m∠B = 64 m∠C = 58 The triangle has it's 3 Medians marked(D,E,F). A median cut's exactly half way from a vertex to the opposite side... It bisects the line segment and angle. So angle BCE would be half of angle C's measurement.

its 29?

8. jazy

Yes.

yea because it wants angle c... And C is bisected so its halfed

10. nubeer

i think angle at C is getting bisect.. which means its dividing the angle in half.. so just half the angle of C

which is 29

12. jazy

Exactly. :D

thanks guys :)

14. jazy

welcome (:

yea it was 29 I just sent my quiz

16. CliffSedge

@jazy, the incenter is the intersection of the angle bisectors. The medians are not involved. "A median cut's exactly half way from a vertex to the opposite side... It bisects the line segment and angle." This statement is false.

17. jazy

yes incenter is the bisectors and circumcenter is the perpandicular bisectors. I do not know where the medians are involved

what is the median of a triangle?

20. CliffSedge

A median bisects a side of the triangle, but it doesn't necessarily also bisect the angle. |dw:1350322892891:dw|

21. CliffSedge

In triangle ABC (that I drew), AN is an angle bisector and passes through the incenter of the triangle. CM is a median and makes AM = MB. It is not also an angle bisector of ACB. ACM =/= MCB.

lagged

23. CliffSedge

|dw:1350323109326:dw| correction to the drawing.

I see so it intersects at the middle of a line but doesnt always bisect

25. CliffSedge

Medians bisect sides. The three medians intersect at the centroid. Angle bisectors bisect angles. The three angle bisectors intersect at the incenter.

alright i got yea

27. CliffSedge

Play around over here for a while http://www.mathopenref.com/triangleincenter.html @jazy you too.

28. jazy

k, thanks for the explanation @CliffSedge (: