Notes
Problems
\(\textbf{1)}\) Solve for z.
The answer is \( z=\sqrt{61} \approx7.81 \)
\(\,\,\,\,\,\,a^2+b^2=c^2\)
\(\,\,\,\,\,\,5^2+6^2=z^2\)
\(\,\,\,\,\,\,25+36=z^2\)
\(\,\,\,\,\,\,61=z^2\)
\(\,\,\,\,\,\,\sqrt{61}=\sqrt{z^2}\)
\(\,\,\,\,\,\,\sqrt{61}=z\)
\(\,\,\,\,\,\,\text{The answer is } z=\sqrt{61} \approx7.81 \)
\(\textbf{2)}\) Solve for x.
The answer is \( x=5 \)
![Link to Youtube Video Solving Question Number 2](https://andymath.com/wp-content/uploads/2020/08/play-video.jpg")
\(\textbf{3)}\) Solve for y.
The answer is \( y=\sqrt{91} \approx 9.54 \)
\(\textbf{4)}\) Solve for h.
The answer is \(5 \)
\(\,\,\,\,\,\,a^2+b^2=c^2\)
\(\,\,\,\,\,\,a^2+(12)^2=(13)^2\)
\(\,\,\,\,\,\,a^2+144=169\)
\(\,\,\,\,\,\,a^2=25\)
\(\,\,\,\,\,\,a=\sqrt{25}\)
\(\,\,\,\,\,\,a=5\)
\(\,\,\,\,\,\,\)The answer is \(5 \)
Challenge Problem
\(\textbf{5)}\) Two cars started at the same place. One car going north traveled 10 mph for 4 hours. The other car traveled east at 15 mph for 2 hours. How far apart are the cars?
The answer is \(50 \) miles
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