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Consider the diagram showing the path Joel biked. 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? Joel’s starting point is x

Consider the diagram showing the path Joel biked. Joel biked 9 miles east and then-example-1

2 Answers

1 vote

Answer:

36 miles

Explanation:

Consider the diagram showing the path Joel biked. Joel biked 9 miles east and then 12 miles north. If he biked back to his starting point using the most direct route, he would have ride 36 miles all together. Joel’s starting point is x.

In order to solve this, we must use the Pythagorean theorem.

The amount of miles would be found by adding the 3 sides together to find the sum or answer.

15 + 9 + 12 = 36 miles

User Palamino
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Using the Pythagorean theorem:

The direct distance back would be:

√(9^2 + 12^2)

√(81 + 144)

√225

15 miles

The total miles would be the sum of the 3 sides:

15 + 9 +12 = 36 total miles.

User Prashant Jangam
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8.3k points