Answer:
14.83
Explanation:
We can use the Pythagorean theorem to solve the question
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
6^2 + DE ^2 = 16^2
36+ DE ^2 = 256
Subtract 36 from each side
DE ^2 = 256-36
DE ^2 = 220
Taking the square root of each side
sqrt( DE^2) = sqrt(160)
DE =14.83239697
Rounding to the nearest hundredth
DE =14.83