Sonoma bikes 5 miles to Paige's house. On a map, they measure that distance as 5/6cm. The same map shows that the mall is 3 1/2cm from Paige's house. What is the actual distance between Paige's house and the mall?

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The median segment divides the triangle into 2 isosceles triangles and everything else is trivial.|ad|=|bc|2=|bd|soδadb  is isosceles with∠dab=∠dbasimilarlyδadc  is isosceles with  ∠dac=∠dca∠cab=∠cad+∠bad=∠acb+∠abctherefore∠cab  is a right angleandbc  is the hypotenuse of a right-angled triangle.hope this