Answer:
7.07 units
Step-by-step explanation:
Use the Pythagorean theorem for the right triangle:
[tex]\text{hypotenuse}^2=\text{leg}_1^2+\text{leg}_2^2,\\ \\c^2=a^2+b^2.[/tex]
If a = x, b = x, and c = 10, then
[tex]10^2=x^2+x^2,\\ \\100=2x^2,\\ \\x^2=50,\\ \\x=\sqrt{50}=5\sqrt{2}\approx 7.07\ units.[/tex]
