# Chapters 1-9 - Cumulative Review Exercises: 29

The unknown length of the figure is $\approx 13.2$ yd.

#### Work Step by Step

Let $y =$ unknown length in the figure $a^{2} + b^{2} = c^{2}$ (Pythagorean Theorem) $15^{2} + y^{2} = 20^{2}$ $225 + y^{2} = 400$ $y^{2} = 175$ $y = \sqrt 175$ $y = 13.228...$ $y \approx 13.2$ yd

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