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Question Number 163148 by ajfour last updated on 04/Jan/22

Commented by mr W last updated on 05/Jan/22

Commented by mr W last updated on 05/Jan/22

$$onlysomeisoscelestrianglesare$$$$possible,right?$$

Commented by mr W last updated on 05/Jan/22

$$amirrorlabyrinthsir?$$

Commented by ajfour last updated on 05/Jan/22

$$sidesofinnerwallsoftriangular$$$$fencearemirrored,Arayof$$$$lightfromtopvertex//to$$$$planeof△hastogetbacksymm-$$$$etricallyaftershownreflections;$$$$find\theta .$$

Answered by mr W last updated on 05/Jan/22

Commented by mr W last updated on 05/Jan/22

$$nicequestion!$$

Commented by mr W last updated on 05/Jan/22

$$\alpha =90°-\theta$$$$\beta =90°-\frac{\varphi }{2}$$$$\alpha +2\beta =180°$$$$90°-\theta +2(90°-\frac{\varphi }{2})=180°$$$$\theta +\varphi =90°$$$$\Rightarrow \theta =90°-\varphi$$$$\theta >0\Rightarrow \varphi <90°$$$$\theta <\frac{\varphi }{2}\Rightarrow \varphi >60°$$$$onlyisoscelestriangleswith$$$$60°<\varphi <90°arepossible.$$

Commented by mr W last updated on 05/Jan/22

Commented by ajfour last updated on 05/Jan/22

$$Thankusir.$$

Commented by Tawa11 last updated on 06/Jan/22

$$\mathrm{Great}\mathrm{sir}$$

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