d = 16.76 inches
Step-by-step explanation:
We can extend the definition of the Pythagorean theorem to 3-dimensions:
[tex]d = \sqrt{ {x}^{2} + {y}^{2} + {z}^{2} } [/tex]
Let x = 10 in
y = 10 in
z = 9 in
[tex]d = \sqrt{ {(10)}^{2} + {(10)}^{2} + {(9)}^{2} } [/tex]
[tex]d = \sqrt{281} = 16.76 \: in[/tex]
