Help The Insect!

Geometry Level 3

An insect that cannot fly is at a point A in a room as shown in the figure. The insect must get to point G but can only travel along the surface of the room (i.e. the walls, the floor, and the ceiling).
What is the shortest distance that the insect must travel up to three decimal places? It is given that a = 3 a =3 , b = 4 b =4 , c = 7 c =7 .


The answer is 9.899.

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