Chapter 10 - Radical Expressions and Equations - 10-1 The Pythagorean Theorem - Practice and Problem-Solving Exercises - Page 603: 7

b=8

The Pythagorean Theorem states that for a right triangle, $a^{2} +b^{2} = c^{2}$. Thus, we plug in the values given for a, b, or c, and then we use these values to find the missing value: $6^{2} + b^{2} = 10^{2} \\\\ 36 + b^{2} =100 \\\\ b^{2} =64 \\\\ b=8$