Triple Quad Formula

Level 2

Here is the Triple Quad Formula: ( Q 1 + Q 2 + Q 3 ) 2 = 2 ( Q 1 2 + Q 2 2 + Q 3 2 ) (Q_1+Q_2+Q_3)^2=2(Q_1^2+Q_2^2+Q_3^2) where Q n Q_n is a quadrance .

You have three points with three associated quadrances (i.e. square of the distance). Two of the quadrances are 1. The points are distinct.

What is the third quadrance?


The answer is 4.

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1 solution

Peter Michael
Aug 6, 2017

In goes quadrances

Isolate for the quadrance

Pick right solution

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