Circumcenter theorem states that the vertices of the each triangle are equidistant from the circumcenter.
As per the statement:
It is given that: P is the circumference
From the given figure:
CP = 12 units.
by circumcenter theorem;
AP= BP =CP = 12 units.
Next find the value of AB:
Labelled the diagram:
AD = 11 units
AB = AD+DB
Since: AD=DB [You can see it from the given figure]
AB = 2AD = 2(11) = 22 units
Therefore, the value of BP and AB are: 12 units and 22 units
The measure of BP and AB is 12 and 22 respectively.
Circumcenter theorem states that the vertices of a triangle are equidistant from the circumcenter.
Since p is the circumcenter that means PA=PB=PC.
Now, from the figure, it is given that PC=12 and PC is also equal to PB, thus the measure of PB=12.
Let OP be the perpendicular on AB.
Now, also from the figure, it is given that AO=OB=11, and AB=AO+OP, therefore
Thus, the measure of BP and AB is 12 and 22 respectively.