We have to use the property of rhombus that diagonals bisects each other and form 90 degree.
So we have to use pythagorean identity here[tex] x^2+5^2=13^2=>x^2=169-25 [/tex]
x=12
So the other diagonal is 12*2=24.
And area of rhombus =0.5(product of diagonals)
=0.5*10*24 =120