Previously we asked you, the educators or yourself, if you are a student to think of way(s) to find the ratio of $\dfrac{PR}{QR}$ in this thread (Olympiad Trigonometric Problem), we will now lead you to a credible way to solve for that intriguing hard trigonometric problem.
We in fact, should have the eagle eye sight and should be able to tell offhand that we suspect $\angle P=\angle Q$.
A collection of intriguing competition level problems for secondary school students.
Showing posts with label contradiction. Show all posts
Showing posts with label contradiction. Show all posts
Thursday, April 16, 2015
Wednesday, April 15, 2015
When is Cheryl's birthday?
Albert and Bernard just become friends with Cheryl, and they want to know when her birthday is. Cheryl gives them a list of 10 possible dates.
May 15 May 16 May 19
June 17 June 18
July 14 July 16
August 14 August 15 August 17
Cheryl then tells Albert and Bernard separately the month and the day of her birthday respectively.
Albert: I don't know when Cheryl's birthday is, but I know that Bernard does not know too.
Bernard: At first I don't know when Cheryl's birthday is, but I know now.
Albert: Then I also know when Cheryl's birthday is.
So, when is Cheryl's birthday?
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