Question

n a parallelogram abcd o is the point of intersection of its diagonals ac and bd and ao measures 3.5 , then the length of diagonal ac is

Answer 1

Here, ABCD is a parallelogram and AC and BD are diagonals of parallelogram intersect each other at O.

Here, ABCD is a parallelogram and AC and BD are diagonals of parallelogram intersect each other at O.OA=3cm and OD=2cm

Here, ABCD is a parallelogram and AC and BD are diagonals of parallelogram intersect each other at O.OA=3cm and OD=2cmWe know that, diagonals of a parallelogram bisect each other.

Here, ABCD is a parallelogram and AC and BD are diagonals of parallelogram intersect each other at O.OA=3cm and OD=2cmWe know that, diagonals of a parallelogram bisect each other.∴ AO=OC and BO=OD

Here, ABCD is a parallelogram and AC and BD are diagonals of parallelogram intersect each other at O.OA=3cm and OD=2cmWe know that, diagonals of a parallelogram bisect each other.∴ AO=OC and BO=OD⇒ AC=2×OA=2×3cm=6cm

Here, ABCD is a parallelogram and AC and BD are diagonals of parallelogram intersect each other at O.OA=3cm and OD=2cmWe know that, diagonals of a parallelogram bisect each other.∴ AO=OC and BO=OD⇒ AC=2×OA=2×3cm=6cm⇒ BD=2×OD=2×2cm=4cm

Here, ABCD is a parallelogram and AC and BD are diagonals of parallelogram intersect each other at O.OA=3cm and OD=2cmWe know that, diagonals of a parallelogram bisect each other.∴ AO=OC and BO=OD⇒ AC=2×OA=2×3cm=6cm⇒ BD=2×OD=2×2cm=4cm∴ The length of the diagonals AC and BD are 6cm and 4cm.