Question

C is the circumcenter of triangle PQR. PC = 3x + 7, RC = 5x - 15, & QC = 51 - x

Answer 1

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.

$PC=RC=QC$

$RC=QC$

$5x-15=51-x$

$5x+x=51+15$

$6x=66$

$x=11$

The value of x is 11.

We need to find the value of PC.

$PC=3x+7$

Substitute x=11 in the above equation.

$PC=3(11)+7$

$PC=33+7$

$PC=40$

Therefore, the value of PC is 40.