# Calculate the length of the sides and diagonals of the quadrilateral below:

Let A = (0,0)

B = (1, – 2)

C = (– 3, – 2)

D = (– 3,1)

Here, AB, BC, CD, DA are the sides of the quadrilateral and AC and BD are the diagonals of the quadrilateral.

Length of Side

AB = distance between point A and B =

Here x2 = 1,y2 = – 2,x1 = 0,y1 = 0

AB =

AB =

AB =

AB = √5unit

BC = distance between point B and C =

Here x2 = – 3,y2 = – 2,x1 = 1,y1 = – 2

BC =

BC =

BC =

BC = 2 units

CD = distance between point C and D =

Here x2 = – 3,y2 = 1,x1 = – 3,y1 = – 2

CD =

CD =

CD =

CD = 3 units

DA = distance between point D and A =

Here x2 = 0,y2 = 0,x1 = – 3,y1 = 1

DA =

DA =

DA =

DA = √10 units

Length of diagonal

AC = distance between point A and C =

Here x2 = – 3,y2 = – 2,x1 = 0,y1 = 0

AC =

AC =

AC =

AC = √13 units

Length of diagonal

BD = distance between point B and D =

Here x2 = – 3,y2 = 1,x1 = 1,y1 = – 2

BD =

BD =

BD =

BD = 5 units

Hence, length of the sides of the quadrilateral is √5,2,3,√10 units.

Length of the diagonals of the quadrilateral are √13 and 5 units.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses