Answer: [tex]x=4.7434[/tex]
Step-by-step explanation:
Use the pythagorean theorem [tex]a^{2} +b^{2} =c^{2}[/tex]
plug in and solve
[tex]x^{2} +3x^{2} =(3\sqrt{10}) ^{2}[/tex]
[tex]4x^{2} =90[/tex]
[tex]x^{2} =22.5[/tex]
[tex]x=4.7424[/tex]
if you need to solve for the sides
3x = 3(4.7434) = 14.2302
