Math Quiz 8

[Jon Stratis]

I hadn't actually figured out if it was correct or not... Regardless, I want to see process!. There are usually a couple of different ways to approach a problem, and seeing someone else's process can help expand your own thinking

I'll probably take a crack at it later this week. Off the top of my head, we know the equation for a circle. The big circle is pretty well defined, sitting as it does with tangents x=0 and y=0. Then I'd try to define the second circle in relation to the first circle - a circle with the prescribed diameter ratio, a tangent at x=0 and a shared point with the big circle. From there, it's just a question of finding equation for the hypotenuse that is also a tangent for both circles. That'll lead you to the x and y intercepts, the length of the hypotenuse, and the length of the base.

I just need to go look up those tangent equations again... Been way too long since I learned them!