Let [tex] c [/tex] be the hypotenuse of the triangle and [tex] a,b [/tex] be the length of the other two sides. Then using Pythagoras theorem,
[tex] a^2+b^2=c^2\\
a^2=c^2-b^2\\\
a=\sqrt{c^2-b^2} \\
[/tex]
Substitute numerical values, [tex] c=4,b=3 [/tex]. then,
[tex] a=\sqrt{4^2-3^2}\\
a=\sqrt{7}\\
a=2.646 [/tex]
The length of the other leg rounded to nearest 10th is [tex] 2.6 [/tex].
