Originally Posted by

**bleesdan** Did you mean XA/AZ=3? Because XA/AX=1.

HA!

I think this is even better than Pythagoras!

Similar triangles are everyone's friend!

Alright, I want you to find a piece of paper and a pencil or pen and draw the triangle.

I don't care if your book has it drawn already, just draw it.

Remember that angle XYZ=110, so make it obtuse.

Then, make point A so that the distance from A to X is about three times the distance from Z to A.

Now, label everything we know: angle XYZ, angle XAY, and side YZ.

But, we know something else! If angle XAY=70 and angle XAY+angle ZAY=180 (it's on a straight line), then angle ZAY=110.

Now, for the finale. Draw a second triangle. It should look that same as the first. The bigger angle is A.

This is a copy of the smaller triangle AYZ. Why? Well, we have similar triangles! angle ZAY=angle XYZ, and angle AZY=angle XZY.

From there, all you need to do is relate similar sides, and you're done.

Post back with what you think the answer is.