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A rectangular field is 50m wide by 100m long. How long is the diagonal path connecting the two opposite corners of the field?

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We can solve this using Pythagorean Theorem,

c² = a² + b²

where

c = diagonal = hypotenuse = ?

a = leg #1 = 50m

b = leg #2 = 100m

solve for c,

c² = a² + b²

c² = 50² + 100²

c² = 2500 + 10000

c = √12500

c = 111.80 m

So the diagonal is 111.80 meters long.

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