Answer:
[tex]5\sqrt{82}[/tex] units
[tex]\sqrt{84910}[/tex] units
Step-by-step explanation:
According to Pythagoras theorem, square of hypotenuse is equal to sum of squares of other two sides.
Consider the first figure:
Let [tex]x[/tex] denotes length of the third side.
[tex]23^2+39^2=x^2\\529+1521=x^2\\2050=x^2[/tex]
[tex]x=5\sqrt{82}[/tex] units
Consider the second figure:
Let [tex]y[/tex] denotes length of the third side.
[tex]87^2+96^2=y^2\\7569+9216=y^2\\84910=y^2\\[/tex]
[tex]y=\sqrt{84910}[/tex] units
