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Question Number 47382 by ajfour last updated on 09/Nov/18

Commented by ajfour last updated on 09/Nov/18

The sides of inclined triangle  are p, q, and r.  Find P G= h .  The sides of the prism box are  squares, and base equilateral.  M and N are contact points of  △PQR with upper edges of box.

$${The}\:{sides}\:{of}\:{inclined}\:{triangle} \\ $$$${are}\:{p},\:{q},\:{and}\:{r}. \\ $$$${Find}\:{P}\:{G}=\:{h}\:. \\ $$$${The}\:{sides}\:{of}\:{the}\:{prism}\:{box}\:{are} \\ $$$${squares},\:{and}\:{base}\:{equilateral}. \\ $$$${M}\:{and}\:{N}\:{are}\:{contact}\:{points}\:{of} \\ $$$$\bigtriangleup{PQR}\:{with}\:{upper}\:{edges}\:{of}\:{box}. \\ $$

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