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

Explanation:

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Answer 2

33 inches

Explanation:

In a quadrilateral ABCD, AB ∥ DC and AD ∥ BC.

AC = 20 in, BD = 20 in, AB = 13 in.

We want to find the perimeter of ΔCOD if point O is the intersection of the diagonals.

Since AB ∥ DC and AD ∥ BC, the point O divides the diagonals into two equal parts.

|OD|=|BD|/2 = 20/2 =10inch

Similarly,

|OC|=|AC|/2 = 20/2 =10inch

Also,

AB=CD=13 inch

Therefore,

Perimeter of ΔCOD= |OD|+|OC|+|CD|

=10+10+13

=33 inches