[aa05]

So I need some help answering that question
I know that both triangles have a right angle, and share side PC, but I need one more reason..
Thanks in advance to anyone who answers

[Dualcore]

They both share BC.

[electriic_ink]

Angle PCB = 90 - Angle PCA = Angle CAP

[lou_100]

(Original post by aa05)

So I need some help answering that question
I know that both triangles have a right angle, and share side PC, but I need one more reason..
Thanks in advance to anyone who answers

APC=90=BPC because there is 180 degrees along a straight line.

Due to there being 180 degrees in a triangle, the remaining angles of each triangle must add up to 180.
... So PAC+ACP=90 and PBC+BCP=90

If CP bisects the right angle C, it divides 90 degrees into two groups. E.g. 80 degrees and 10 degrees (one group belonging to each triangle). This means the remaining third angle of each triangle becomes the remainder (or the other group).

Hope that makes sense, that's how I would say it.

[Dualcore]

Or if you want something fancier you could let the
angle PAC=x
then angle ACP=90-x,
then angle BCP=90-90-(-x)=x,
then angle CBP=90-x.

Therefore both triangles have the same angles- x,90-x and 90 for 0<x<90

[aa05]

thanks all of you