Chapter 8 - Geometry - 8.8 Pythagorean Theorem - 8.8 Exercises - Page 594: 30

Unknown length of the triangle is $\approx 13.2$ cm

Let $x =$ unknown length of the triangle $a^{2} + b^{2} = c^{2}$ $9^{2} + x^{2} = 16^{2}$ $81 + x^{2} = 256$ $x^{2} = 175$ $x = \sqrt 175$ $x = 13.228...$ $x \approx 13.2$ cm