QUESTION IMAGE
Question
- find the missing side length. round to the nearest tenth. 14 6
Step1: Recall Pythagorean theorem
For right triangle: $a^2 + b^2 = c^2$, where $c=14$, $a=6$, solve for $b$.
Step2: Rearrange formula for $b$
$b = \sqrt{c^2 - a^2}$
Step3: Substitute values
$b = \sqrt{14^2 - 6^2} = \sqrt{196 - 36} = \sqrt{160}$
Step4: Calculate and round
$\sqrt{160} \approx 12.6$
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12.6