What is the length of the hypotenuse of a right triangle if the two other sides are of lengths 6 and 2?

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Answer 1 · 2018-06-30T17:22:30

#2sqrt(10)#

By the Theorem of Pythagorean
#c^2=a^2+b^2#

we get

#c^2=4+36#
so
#c=sqrt(40)=sqrt(4*10)=2sqrt(10)#

Answer 2 · 2018-06-30T17:27:08

The length of hypotenuse #=c=2sqrt10~~6.32#

Let #triangle ABC# be the right triangle.

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Let , #bar(AB)# be the hypotenuse and #m /_C=pi/2#

Let , #BC=a=2 and AC=b=6 and AB=c#

We know that,

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

#=>c^2=2^2+6^2=4+36=40#

#=>c^2=4xx10#

#=>c=2sqrt10~~6.32#