Question

All of the segments shown in the figure below are tangents to circle N. Given the measures in the figure what is the perimeter of quadrilateral ABCD?

Answer 1

@VeritasVosLiberabit

Answer 2

Ok, these are fun and also quite easy. I jus got done teaching this to my Geometry class, actually! When looking at the quadrilateral and its inscribed circle, you see that segment AW = 6. Because of the fact that tangents that originate from a single point to a circle creates equal length segments. This means that if AW is 6, then AT is also 6. Now look at WD. It = 4. This means that VD also is 4. UC = 3, so VC = 3. BU = 10, so BT = 10. Now that you have all the side lengths, add them up! 10 + 6 + 6 + 4 + 4 + 3 + 3 + 10 = 46

Answer 3

Oh okay I get it! Thank you!

Answer 4

My pleasure!!!