Hello, ceasar_19134!

How long is the largest equialteral trangle

that can be inscribed in a square with side length of 1?

The triangle can be inscribed like this . . .Code:*-----------------* |* * | | * * | | * * 1 | * x * | | * * | | * 60° * | | 75° * * 45° | *-------*---------*

Letx= side of the equilateral triangle.

In the lower-left right triangle, we have; .sin75° = 1/x

Hence: .x .= .1/sin75° .= .1.03527615