What is the length of b in a right triangle if #a=2# and #c=24#?

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Answer 1 · 2014-10-25T00:10:11

For this problem we have to use the Pythagorean Theorem.

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

where #a# and #b# are the lengths of the legs and #c# is the length of the hypotenuse.

#(2)^2+b^2=(24)^2#

#b^2=(24)^2-(2)^2#

#sqrt(b^2)=sqrt((24)^2-(2)^2)#

#b=sqrt((24)^2-(2)^2)#

#b=sqrt(576-4)#

#b=sqrt(572)#

#b=sqrt(4*143)#

#b=2sqrt(143)#