# 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.

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