Find the length of the hypotenuse , c, using the Pythagorean theorem (a^2+b^2=c^2) round the nearest tenth if necessary

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)