Question

A right triangle has a hypotenuse of 70 ft. and a leg of 35 ft., what is the length of the other leg?

Answer 1

a^2 + b^2 = c^2


35^2+b^2 = 70^2


1225+b^2 = 4900


b^2 = 4900 - 1225


b^2 = 3675


b = sqrt(3675)


b = 60.6217783


So the other leg is roughly 60.6217783 ft

Answer 2

let x be the unknown lenght

so using pythangoras theorem

x^2 + 35^2 = 70^2

so x^2 = 70^2 - 35^2

x^2 = 3675

and x =

\[35\sqrt{5}\]