In the triangular prism, the length of JE is 12 inches, the length of EF is 3 inches, and the length of FG is 4 inches.
Note: Image not drawn to scale.
What is the length of a line segment drawn from point J to point G?
A.
5 inches
B.
7 inches
C.
13 inches
D.
17 inches
To find the length of line segment JG, we can use the Pythagorean theorem because JG is the hypotenuse of a right triangle with sides of lengths 12 and 4.
Using the Pythagorean theorem: JG^2 = JE^2 + EG^2
JG^2 = 12^2 + 4^2
JG^2 = 144 + 16
JG^2 = 160
JG = sqrt(160)
JG = 4√10
Therefore, the length of the line segment from point J to point G is approximately 12.65 inches, which is closest to 13 inches.
Answer: C. 13 inches