What is the length of the hypotenuse of a right triangle if the two other sides are of lengths 2 and 24?

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Answer 1 · 2015-12-29T11:05:53

#=2sqrt(145)#
~#(24.083189...)#

#a^2 + b^2 = c^2#, like in any pythagoras question

#a = 2#
#a^2 = 4#
#b = 24#
#b^2 = 576#

#c^2 = 576 + 4#
#= 580#

c = #sqrt(580)#

#=sqrt(4) * sqrt(145)#

#=2sqrt(145)# as a simplifeid surd

or roughly equal to #24.083189...#