Question 536326
Use the Pythagorean theorem:
{{{c^2 = a^2+b^2}}} where: c (the hypotenuse) squared is 128 and the other two sides (these are equal in an isosceles triangle) we'll a and a, so...
{{{128 = a^2+a^2}}} Simplify.
{{{128 = 2a^2}}} Divide by 2.
{{{64 = a^2}}} Take the square root of both sides.
{{{a = 8}}}
The length of each leg is 8 meters.