Answer:
[tex]\frac{\sqrt{30} }{2}[/tex]
Step-by-step explanation:
We can us pythagorean theorem to find x
[tex]a^2+b^2=c^2[/tex]
All sides equal [tex]\sqrt{10}[/tex] but this one was split in half so we divide it by 2
[tex]\frac{\sqrt{10} }{2} ^2+b^2=\sqrt{10}^2[/tex]
[tex]\frac{10}{4} +b^2=10[/tex]
[tex]2.5+b^2=10[/tex]
Subtract both sides by 2.5
[tex]b^2=7.5[/tex]
Square root both sides
[tex]b=\sqrt{7.5}[/tex]
I hope this helps
