Abcd is a parallelogram whose diagonals intersect each other at right angles. if the length of the diagonals is 6cm and 8cm, find the lengths of all the sides of the parallelograms
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Answered by
40
Let diagonals intersect at O
AO=CO=3cm (Diagonals bisected each other)
BO=DO=4cm
Also they are perpendicular so
AB^2=AO^2+BO^2
AB^2=3^2+4^2
AB^2=25
AB=5 cm =CD
CB^2=CO^2+BO^2
CB^2=25
CB=5cm=AD
HOPE THIS HELPED
AO=CO=3cm (Diagonals bisected each other)
BO=DO=4cm
Also they are perpendicular so
AB^2=AO^2+BO^2
AB^2=3^2+4^2
AB^2=25
AB=5 cm =CD
CB^2=CO^2+BO^2
CB^2=25
CB=5cm=AD
HOPE THIS HELPED
Answered by
37
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