A right triangle has sides of length 33 and 56. What is its hypothenus in simpliest radical form?

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Answer 1 · 2017-10-06T10:11:44

#Hypote#n#use = 65#

Given :
Two sides have lengths : 33 and 56
To find : Hypotenuse #h#

According to Pythagoras theorem,

#(Hypoten#u#se)^2 = (Side1)^2 + (Side2)^2#

# h^2 = (33)^2 + (56)^2#

#h^2 = (1089) + (3136)#

#h^2 = 4225#

Taking root on both sides,

#h = root\ 4225#

#h = 65#