tfishman2865 tfishman2865

20-03-2022
Mathematics

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What is The longest line segment that can be drawn in a right rectangular prism that is 13 cm long 12 cm wide and 11 cm tall

Respuesta :

20-03-2022

Answer:

13√2

Step-by-step explanation:

The longest segment that can be drawn is a "diagonal" connecting two opposite "corners" at the top and bottom.This is similar to finding the length of a diagonal of a rectangle using the Pytagoren Theorem. However, this distance is in 3-space and is given by:d =√(152 + 82 + 72) = √338 = √(169 * 2) = 13√2 cm.

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