Answer:
All sides are : 16,63,65 units
Step-by-step explanation:
Let the other leg be = x
So, hypotenuse will be = x+2
And one leg is = 16
So, Pythagoras theorem is :
[tex]a^{2} +b^{2}=c^{2}[/tex] , where c is hypotenuse.
Now we can calculate this as:
[tex]16^{2} +x^{2} =(x+2)^{2}[/tex]
=> [tex]256+x^{2} =x^{2} +4x+4[/tex]
Clubbing the like terms together;
=> [tex]x^{2} -x^{2} -4x=-256+4[/tex]
[tex]-4x=-252[/tex]
x = 63
So, hypotenuse is = [tex]63+2=65[/tex] units
Therefore, all the lengths are = 16,63 and 65 units.