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Reply To: Puzzles

A Tale of 2 Secrets › Forums › T.E.M.P.E.S.T. › Puzzles › Reply To: Puzzles

2nd November 2025 at 2:03 pm #112231
Kingswinford-Warriors-Alumni
Participant

@ByteInBits
#112104

Correct! Nice work. (Out of interest, what method did you use?)

Some more bonus questions related to my original post (#112062):

  1. Calculate ∠BAM when AM=2.
  2. Calculate the area of triangle ABC if AM=1 instead. (First posted in response to @F6EXB_the_frenchy in #112176)
  3. What happens if AM=0.5?
  4. Find a general formula for the area of ABC in terms of AB, AC and AM. Using Heron’s formula is NOW PERMITTED.
  5. Come up with a geometric argument for the previous questions! (Abusing trigonometry does work, but can get slightly messy.)

Have fun!

[Note to Harry: I will not post solutions for these questions. The general argument is along the same lines as the solutions I posted for the original question.]

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