Chapter 8 - Geometry - 8.8 Pythagorean Theorem - 8.8 Exercises - Page 592: 36

The unknown length of the triangle is $\approx 26.4$ ft.

Let $x =$ unknown length of the triangle $a^{2} + b^{2} = c^{2}$ $x^{2} + 26.5^{2} = 37.4^{2}$ $x^{2} + 702.25 = 1398.76$ $x^{2} = 696.51$ $x = \sqrt 696.51$ $x = 26.391...$ $x \approx 26.4$ ft