Since two angles are the same the right angled triangle is also isosceles (i.e is having two same sides )
Let those 2 sides be ‘b’
According to Pythagoras ,
(b^2) + (b^2) = (4^2)
2(b^2)=16
divide through by 2
(b^2)=8
b= √8
b= 2 √2 inches
Therefore the other sides have lengths of 2 √2 inches each