Mathematics, 27.06.2019 21:40 lulu5351
Salemburg is 17 miles south of linbrooke, and linbrooke is 5 miles west of pueblo. carson lives nine miles north of linbrooke. how many miles is it from carson house to salemburg through pueblo “as the crow flies”
Answers: 1
![\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=\stackrel{hypotenuse}{x}\\ a=\stackrel{adjacent}{9}\\ b=\stackrel{opposite}{5}\\ \end{cases} \\\\\\ x=\sqrt{9^2+5^2}\implies x=\sqrt{81+25}\implies x=\sqrt{106} \\\\[-0.35em] ~\dotfill](/tpl/images/0024/7988/42312.png)
![\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=\stackrel{hypotenuse}{y}\\ a=\stackrel{adjacent}{17}\\ b=\stackrel{opposite}{5}\\ \end{cases} \\\\\\ y=\sqrt{17^2+5^2}\implies y=\sqrt{289+25}\implies y=\sqrt{314} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{total distance}}{x+y}\implies \sqrt{106}+\sqrt{314}\qquad \approx 10.296+17.72\qquad \approx 28.016](/tpl/images/0024/7988/90f72.png)
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Salemburg is 17 miles south of linbrooke, and linbrooke is 5 miles west of pueblo. carson lives nine...
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