Triangle in Triangle

Geometry Level 5

Find The maximum possible perimeter of an triangle (XYZ) which is inscribed in an another acute angled Triangle(ABC). And It is given that circum-radius of outer Triangle is R

DETAILS AND ASSUMPTIONS

\(\bullet \) Inner Triangle XYZ (as shown above) must touches the all 3 sides Of Outer Triangle ABC

\(\bullet \) Use R=1

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