# Tree trunk

What is the smallest diameter of a tree trunk that we can cut a square-section square with a side length of 20 cm?

Result

D =  28.284 cm

#### Solution:

$a = 20 \ cm \ \\ \ \\ u = a \cdot \ \sqrt{ 2 } = 20 \cdot \ \sqrt{ 2 } = 20 \ \sqrt{ 2 } \ cm \doteq 28.2843 \ cm \ \\ \ \\ D = u = 28.2843 = 20 \ \sqrt{ 2 } \doteq 28.2843 = 28.284 \ \text { cm }$

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#### Following knowledge from mathematics are needed to solve this word math problem:

Do you want to convert length units? Pythagorean theorem is the base for the right triangle calculator.

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