Robert left his house and biked 12km east before changing direction. He then biked 16 km south. If he bikes home on the most direct path to his house, how many kilometers must he travel?

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Robert left his house and biked 12km east before changing direction. He then biked 16 km south. If he bikes home on the most direct path to his house, how many kilometers must he travel?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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|dw:1339479231206:dw| use Pythagorean theorem to solve out for x
and that would be your answer :)
is there another way to solve it ? like an equation or something?

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Other answers:

yes the pythagorean theorem there probably is another way to solve this but using the theorem is the easiest way
\[c^{2} = a^{2} + b^{2}\] \[c^{2} = 12^{2} + 16^{2}\] \[c^{2} = 144 + 256\] Can you solve it now?
thanks :)
You're welcome :)

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