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Similarity – Ratios Fetish

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Tuition given in the topic of E-Maths Tuition Questions from the desk of Miss Loi at 7:02 pm (Singapore time)

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It has been a holy weekend with an unholy schedule for Miss Loi. As this hectic weekend (thankfully) comes to an end, Miss Loi would like to leave you with a question on Similarity. Miss Loi’s students will know that she has an unnatural fetish for these questions (triangles and all) as they sometimes tend to pop up uninvited and unannounced in Vectors area as well.

Diagram

ABCD is a quadrilateral with AB parallel to DC. AC and BD meet at E where BE = 6 cm and DE = 9 cm.

  1. Given than AC = 35 cm, find the length of AE.
  2. Find the ratio of area of triangle BCE : area of triangle CDE.
  3. Find the ratio of area of triangle ABE : area of triangle CDE.
  4. Find the ratio of area of triangle BCE : area of triangle ADE.

Ok that’s all for now while Miss Loi takes a sip of coffee and enjoys the brilliant sunset in front of her, contrary to what is being reported in her Ever-Reliable Apple Weather Widget *sigh!*

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