construct a parallelogram whose one of sides 5cm and diagonals are 6cm,6.5cm respectively.
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NAME THE QUADRILATERAL AS ABCD .
LET BASE BE 5 CM WHICH IS THE LINE SEGMENT AB .
SO, THE LINE SEGMENT CD IS ALSO EQUAL TO 5CM .
LET THE DIAGNOLS MEET AT O .
EACH DIAGONAL DIVIDES THE OTHER INTO TWO EQUAL HALVES .
LET THE LINE SEGMENT AC BE 6CM AND THE LINE SEGMENT BD BE 6.5 CM .
SO, THE LINE SEGMENT AO AND OC =3 CM EACH AND THE LINE SEGMENT BO AND OD =3.25 EACH .
WITH A AS CENTRE AND RADIUS 3 CM DRAW AN ARC .
WITH B AS CENTRE AND RADIUS 3.25 CM DRAW AN ARC AND CUT THE PREVIOUSLY DRAWN ARC AT O ( THE MEETING POINT OF DIAGONALS ) .
EXTENT BOTH THE LINE SEGMENTS AO AND BO TO E AND F RESPECTIVELY .
WITH O AS CENTRE AND RADIUS 3 CM DRAW AN ARC AND CUT THE LINE SEGMENT OE AT C .
WITH O AS CENTRE AND RADIUS 3.25 CM DRAW AN ARC AND CUT THE LINE SEGMENT OF AT D .
JOIN THE POINTS AND MARK THE MEASUREMENTS .
THIS IS THE REQUIRED PARALELLOGRAM ABCD .
Hope this will help u.
LET BASE BE 5 CM WHICH IS THE LINE SEGMENT AB .
SO, THE LINE SEGMENT CD IS ALSO EQUAL TO 5CM .
LET THE DIAGNOLS MEET AT O .
EACH DIAGONAL DIVIDES THE OTHER INTO TWO EQUAL HALVES .
LET THE LINE SEGMENT AC BE 6CM AND THE LINE SEGMENT BD BE 6.5 CM .
SO, THE LINE SEGMENT AO AND OC =3 CM EACH AND THE LINE SEGMENT BO AND OD =3.25 EACH .
WITH A AS CENTRE AND RADIUS 3 CM DRAW AN ARC .
WITH B AS CENTRE AND RADIUS 3.25 CM DRAW AN ARC AND CUT THE PREVIOUSLY DRAWN ARC AT O ( THE MEETING POINT OF DIAGONALS ) .
EXTENT BOTH THE LINE SEGMENTS AO AND BO TO E AND F RESPECTIVELY .
WITH O AS CENTRE AND RADIUS 3 CM DRAW AN ARC AND CUT THE LINE SEGMENT OE AT C .
WITH O AS CENTRE AND RADIUS 3.25 CM DRAW AN ARC AND CUT THE LINE SEGMENT OF AT D .
JOIN THE POINTS AND MARK THE MEASUREMENTS .
THIS IS THE REQUIRED PARALELLOGRAM ABCD .
Hope this will help u.
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