The Yiu triangle 
is the triangle formed by the centers of the Yiu circles.
It has area
![Delta^'=(f(a,b,c))/(a^4b^4c^4[1+2cos(2A)][1+2cos(2B)][1+2cos(2C)])Delta,](/images/equations/YiuTriangle/NumberedEquation1.svg) |
where 
is a 12th-order polynomial and 
is the area of the reference
triangle 
.
The Yiu triangle is perspective with the following triangles.
| triangle | perspector | Kimberling |
| reference triangle |  | |
| tangential triangle |  -Ceva conjugate of  |  |
