One leg of a right triangle is 8 feet. The other leg is 6 feet. What is the length of the hypotenuse?

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Answer 1 · 2018-05-21T13:03:11

#10# feet

#a^2+b^2=c^2#

where:

#a# is the first leg of the triangle

#b# is the second leg of the triangle

#c# is the hypotenuse (longest side) of the triangle

So, we get:

#c^2=(8 \ "ft")^2+(6 \ "ft")^2#

#=64 \ "ft"^2+36 \ "ft"^2#

#=100 \ "ft"^2#

#:.c=sqrt(100 \ "ft"^2)#

#=10 \ "ft" \ (because c>0)#