Question

what is the length of the hypotenuse? if necessary, round to the nearest tenth. c = feet

Explanation:

Step1: Apply Pythagorean theorem

$c^{2}=a^{2}+b^{2}$, where $a = 3.8$ and $b=6.6$. So $c^{2}=3.8^{2}+6.6^{2}$.

Step2: Calculate squares

$3.8^{2}=3.8\times3.8 = 14.44$ and $6.6^{2}=6.6\times6.6=43.56$. Then $c^{2}=14.44 + 43.56$.

Step3: Add values

$c^{2}=14.44+43.56=58$.

Step4: Find c

$c=\sqrt{58}\approx7.6$ (rounded to the nearest tenth).

Answer:

$7.6$