5. A parallelogram ABCD is such that AC = 5 cm, BD = 6.6 cm and Z DOC

1.	5. A parallelogram ABCD is such that AC = 5 cm, BD = 6.6 cm and Z DOC = 70°, where O is the poin of intersection of AC and BD. Which of the following is true?(a) OA = 3.3 cm(b) BOC = 110°(c) ZAOB = 110° (d) OD = 2.5 cm
Answer» ONG>Step-by-step EXPLANATION: Here, ABCD is a PARALLELOGRAM and AC and BD are DIAGONALS of parallelogram intersect each other at O. OA=3cm and OD=2cm We 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.

5. A parallelogram ABCD is such that AC = 5 cm, BD = 6.6 cm and Z DOC = 70°, where O is the poin of intersection of AC and BD. Which of the following is true?(a) OA = 3.3 cm(b) BOC = 110°(c) ZAOB = 110° (d) OD = 2.5 cm

Answer» ONG>Step-by-step EXPLANATION:

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

OA=3cm and OD=2cm

We 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.