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For going to a city B from city A there is a route via city C such that `AC botCB`, AC =2x km and CB = 2(x + 7) km. It is proposed to construct a 26 km highway which directly connects the two cities A and B. Find how much distance will be saved in reaching city B from city A after the construction of the highway.

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To solve the problem step-by-step, we will first define the distances and then calculate the distance saved after the construction of the highway. ### Step 1: Define the distances - Let \( AC = 2x \) km (distance from city A to city C). - Let \( CB = 2(x + 7) \) km (distance from city C to city B). ### Step 2: Calculate the total distance via city C The total distance from city A to city B via city C is: ...
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NCERT EXEMPLAR-TRIANGLES-Triangles
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