Answer:
The value of PC is 40.
Step-by-step explanation:
Consider the complete question is " C is the circumcenter of triangle PQR. PC=3X-7 RC=5X-15 & QC= 51-X What does PC equal?"
All vertices or a triangle are equidistant from its circumcenter.
[tex]PC=RC=QC[/tex]
[tex]RC=QC[/tex]
[tex]5x-15=51-x[/tex]
[tex]5x+x=51+15[/tex]
[tex]6x=66[/tex]
[tex]x=11[/tex]
The value of x is 11.
We need to find the value of PC.
[tex]PC=3x+7[/tex]
Substitute x=11 in the above equation.
[tex]PC=3(11)+7[/tex]
[tex]PC=33+7[/tex]
[tex]PC=40[/tex]
Therefore, the value of PC is 40.
