Question

12. In the given figure AB || CD || EF || GH and BH = 100 cm.
Find the value of DF:
50 cm
30 cm
40 cm

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Answer 1

In the given figure AB || CD || EF || GH and BH = 100 cm.  The value of DF = 30 cm.

• Consider given figure,
• when the points A and B are further extended, they meet at a point G.
• Now,
• OG/OH = AG/BH
• ⇒ OG/OH = EG/FH
• ∵ HG ║ EF
• ∴AG/BH = EG/FH
• Similarly,
• OG/OH = CE/DF
• ∵ EF ║ CD
• ∴AG/BH = CE/DF
• as, BH = 100 cm
• we have,
• AG = 100 cm
• ∴ 100/100 = CE/DF
• ∴CE = DF
• as, from figure, we have, CE = 30 cm
• ∴ DF = 30 cm

Answer 2

Step-by-step explanation:

you can find the solution in the above picture