Question

the diagonal of a quadrilaterals are of lengths is 16cm and 12cm if the diagonals bisect each other at right angles what is the length of each side of the quadrilateral

Answer 1

the length of side is 43.3

Answer 2

let be ABCD Is a quadrilateral and AC and BD are the diagonal and it bisect each other at right angle at O.
such that
AO = OC
OB= OD
we have
AC= 16cm
OA= 8 cm.=OC

BD= 12cm.
OB= OD= 6cm.


in ∆AOB

(AB)²= OA²+ OB²
AB²= 8²+6²
AB²=64+36
AB²= 100
AB= √100
AB= 10cm.


hence the side of quadrilateral is 10cm.and it is rhombus so all sides are 10cm.