Locus pocus II

What is the locus of points P for which perpendicular lengths (red=l, green=n, purple=m) to the sides of an isosceles triangle satisfy the condition red*green = purple²?

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Solution

The locus of P is a circle.

What is the locus of points P for which perpendicular lengths (red=l, green=n, purple=m) to the sides of an isosceles triangle satisfy the condition red*green = purple²? https://t.co/R3K23O02Va By @MarshallWBuck pic.twitter.com/AwyPhGL9c7
— Mirangu (@Mirangu1) August 1, 2024

Solution

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