Respuesta :

Answer:

19.4 units

Step-by-step explanation:

The hypotenuse length (c) of the given right triangle, ∆ABC, can be calculated using the Pythagorean Theorem, [tex] a^2 + b^2 = c^2 [/tex],

Where,

c is the longest/hypotenuse, a and b are the length of the other two legs.

Therefore,

[tex] c^2 = (16)^2 + (11)^2 [/tex]

[tex] c^2 = 256 + 121 = 377 [/tex]

[tex] c = \sqrt{377} = 19.4 [/tex] (nearest tenth)