A right triangle has two sides that are each 12 feet long. To the nearest foot, what is the length of the third side?

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Answer 1 · 2016-12-04T13:01:58

17 feet

for right-angled triangles: #a^2 + b^2 = c^2#

if 2 sides are equal, then #a=b#

#2a^2=c^2#

#a=12#

#2a^2=2*12^2=2*144=288#

#c^2=288#

#c=sqrt(288)=16.9#

#16.9# is #17# to the nearest 1, so #16.9ft# is #17ft# to the nearest foot.