Question

In a quadrilateral ABCD, AB ∥ DC and AD ∥ BC . Find the perimeter of ΔCOD if point O is the intersection of the diagonals and AC = 20 in, BD = 20 in, AB = 13 in.

Answer 1

33

Explanation:

As the opposite sides of a quadrilateral are parallel and equal in length so

(AB) = (CD) =13

And the diagonals of a quadrilateral bisect each other at their intersection point (O in this case), so length of side OC will be the half of diagonal AC.

(OC) = (AC) /2

(OC)=20/2

(OC) =10

Similarly,

(OD) =10

Now,

Perimeter of Triangle OCD = (OC) + (CD) + (OD)

=10+13+ 10

=33