Question

metry
missing sides (
side, x.
geometry
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homework: trig - missing sides
remember to check the calculator mode!
review:
using pythagorean theorem, find the missing si
nearest tenth if necessary.
1)
6.6 ft
10.6 ft
x

Explanation:

Step1: Recall Pythagorean Theorem

For right triangle: $a^2 + b^2 = c^2$, where $c$ is hypotenuse, $a=6.6$, $c=10.6$, $b=x$. Rearrange to solve for $x$: $x = \sqrt{c^2 - a^2}$

Step2: Calculate $c^2$ and $a^2$

$c^2 = 10.6^2 = 112.36$, $a^2 = 6.6^2 = 43.56$

Step3: Compute difference and square root

$x = \sqrt{112.36 - 43.56} = \sqrt{68.8}$

Step4: Evaluate square root

$\sqrt{68.8} \approx 8.3$

Answer:

$8.3$ ft