Chapter 8 - Geometry - 8.8 Pythagorean Theorem - 8.8 Exercises - Page 592: 34

The unknown length of the triangle is $\approx 5.8$ mm.

Let $x =$ unknown length of the triangle $a^{2} + b^{2} = c^{2}$ $x^{2} + 9.1^{2} = 10.8^{2}$ $x^{2} + 82.81 = 116.64$ $x^{2} = 33.83$ $x = \sqrt 33.83$ $x = 5.816...$ $x \approx 5.8$ mm