QUESTION IMAGE
Question
the diagram shows the distance between your house, the bank, and the farmers market. you need to stop at the bank before going to the farmers market. given the information in the diagram, identify which statement is true. (1 point) the distance from your house to the bank and then the farmers market is less than 5 miles. the distance from your house to the bank and then the farmers market is equal to 5 miles. the distance from your house to the bank and then the farmers market is greater than 5 miles. the distance from your house to the bank and then the farmers market is 5 miles.
Step1: Apply triangle - inequality theorem
In a triangle, the sum of the lengths of any two sides is greater than the length of the third side. Here, the three points (house, bank, farmer's market) form a triangle, and the direct distance from house to farmer's market is 5 miles. The path from house to bank and then to farmer's market is the sum of two sides of the triangle.
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The distance from your house to the bank and then the farmer's market is greater than 5 miles.