In the rectangular prism below, the length of MR is 8 inches, the length of RS is 9 inches, and the length of ST is 12 inches.

Note: Figure is not drawn to scale.

What is the length of a line segment drawn from point T to point M?
A. 15 inches
B. 21 inches
C. 17 inches
D. 29 inches

1 answer

To find the length of the line segment from point T to point M, we need to first find the distance TM by using the Pythagorean theorem.

TM^2 = ST^2 + MS^2
TM^2 = 12^2 + (8+9)^2
TM^2 = 144 + 289
TM^2 = 433
TM ≈ 20.78 inches

Therefore, the closest option is A. 15 inches.
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