Question

20. HELP is a parallelogram. (Lengths are in cm). Given that OE = 4 and HL is 5 more than PE.
Find OH.
O
H
E​

Answer 1

Answer:

Given: The parallelogram HELP having

               OE = 5cm

  and,      HL = PE + 5

∵ The diagonals of a Parallelogram bisects each other

          OP = OE = 4cm

∴ PE = OP + OE

        = 4cm + 4cm

        = 8cm

Given,

         HL = PE + 5

         HL = 8 + 5

         HL = 13cm

∵ The diagonals of a parallelogram bisects each other

         OH = OL = 1/2 HL

         OH = 1/2 × 13

         OH = 6.5cm

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