Question

consider the diagram showing the path joel biked.
joels starting point
joel biked 9 miles east and then 12 miles north. if he biked
back to his starting point using the most direct route, how
many miles would he ride all together?

Explanation:

Step1: Find the length of the hypotenuse

Use the Pythagorean theorem \(a^{2}+b^{2}=c^{2}\), where \(a = 9\) and \(b=12\).

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Step2: Calculate the total distance

The total distance \(d\) is the sum of the two legs and the hypotenuse. The two - leg distances are \(9\) and \(12\), and the hypotenuse distance is \(15\).
\(d=9 + 12+15\)

Answer:

\(36\) miles