oh yea, isoceles triangles! median of hypotenuse = half of hyptenuse. i get it

I got 32. not sure, this seems incorrect

anonimnystefy

2013-04-30 20:55:04

An alternative way to work it out is: XAY YAB XAB XBA ZAC (=ZCA)

bob bundy

2013-04-30 17:38:53

hi cooljackiec

I assumed that Y and Z are on the line BC.

Because Z is the midpoint of BC and there is a right angle at A, Z is the circumcentre of ABC. ie. A circle centred on Z will go through A, B and C.

So ZA = ZC and ZAC is isosceles.

So work oiut angles in this order:

XAY XYA YAC ZCA (= YCA) ZAC

Bob

cooljackiec

2013-04-30 09:08:32

Triangle ABC is a right triangle with right angle at A. Suppose AX is an altitude of the triangle, AY is an angle bisector of the triangle, and AZ is a median of the triangle, and angle XAY=13. If X is on BY, then what is the measure of angle ZAC?