Question 974285

Assuming one leg is (a) and the hypotenuse is (c),the formula we will use for a right-angled triangle is:


{{{b = sqrt(c^2 - a^2)}}} where b is the length of the third side.


We plug the values into the equation,


{{{ b = sqrt(14^2 - 12^2)}}} 


The length of the third side is {{{b = 2sqrt(13)}}}  or  b ~ 7.21 cm. 


To show how you obtained the answer {{{b = 2sqrt(13)}}}:


b = {{{sqrt(14^2 - 12^2) = sqrt(196 - 144) = sqrt(52)}}} 


We separate {{{sqrt(52)}}} as {{{sqrt(4 * 13)}}} ---> {{{sqrt(4) * sqrt(13)}}} since 4 x 13 = 52. 


We know that {{{sqrt(4) = 2}}} and {{{sqrt(13)}}} cannot be simplified so we keep it and,


b = {{{2sqrt(13)}}} or  b ~ 7.21cm.