Question 1004708
We will use the pythagorean theorem {{{a^2 + b^2 = c^2}}} where 'a' and 'b' are the legs. The longest side is 'c' which is the hypotenuse.


In this case, a = 25, b = 60 and c is unknown. So we'll leave it as c and solve for c


{{{a^2 + b^2 = c^2}}}


{{{25^2 + 60^2 = c^2}}} Plug in a = 25, b = 60. Solve for c


{{{625 + 3600 = c^2}}}


{{{4225 = c^2}}}


{{{c^2 = 4225}}}


{{{sqrt(c^2) = sqrt(4225)}}}


{{{c = 65}}}


The hypotenuse is 65 cm long.