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Home » First, find the area of the square: - Coaching Toolbox

First, find the area of the square: - Coaching Toolbox

📅 May 4, 2026 👤 scraface

May 04, 2026

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We now count how many of these satisfy:
$ a < b < c $ — strictly increasing order (one compound choice),
But since $ a < b < c $, we have $ b - a > 0 $, $ c - b > 0 $, so:
We list all such triplets and count how many satisfy $ 2b < a + c $.
Lets proceed systematically. For each combination, compute $ a, b, c $...
We can fix $ b $, then $ a < b $, $ c > b $, and search.
Alternatively, note symmetry. For uniformly random $ a < b < c $, we a...
Then $ 2b < a + c = (b - d_1) + (b + d_2) = 2b + (d_2 - d_1) $, so:
Thus, the condition $ 2b < a + c $ is equivalent to $ c - b > b - a $,...
So for increasing triples $ a < b < c $, with spacing $ d_1 = b - a $,...

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