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

33 inches

Step-by-step 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

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)