The hypotenuse of an isosceles right triangle is $14\sqrt 2$. how long is each leg of the triangle?

An isosceles triangle by definition, is a triangle that has two equal sides.
 We have then that the hypotenuse is given by:
 h = root (L ^ 2 + L ^ 2)
 h = root (2L ^ 2)
 Substituting we have:
 14raiz (2) = root (2L ^ 2)
 Clearing L we have:
 14raiz (2) = Lraiz (2)
 Simplifying:
 L = 14
 
 Each side of the triangle is:
 L = 14 units