Question

Quadrilateral VRPO is a kite. If VN = 35 and RN = 12, what is VO?

Answer 1

`VO=37\ units`

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

`VR^(2)=RN^(2)+VN^(2)`

substitute the given values

`VR^(2)=12^(2)+35^(2)`

`VR^(2)=1,369`

`VR=37\ units`

Remember that

VR=VO

therefore

`VO=37\ units`