Answer:
[tex]VO=37\ units[/tex]
Step-by-step explanation:
we know that
Kites have two pairs of congruent sides that meet at two different points, and the diagonals of a kite meet at a right angle.
so
In this problem
RP=PO
VR=VO
see the attached figure to better understand the problem
Applying the Pythagoras Theorem
[tex]VR^{2}=RN^{2}+VN^{2}[/tex]
substitute the given values
[tex]VR^{2}=12^{2}+35^{2}[/tex]
[tex]VR^{2}=1,369[/tex]
[tex]VR=37\ units[/tex]
Remember that
VR=VO
therefore
[tex]VO=37\ units[/tex]
