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3. if (ac = 62) and (bc = 27). what is the length of (overline{ab})?

Question

  1. if (ac = 62) and (bc = 27). what is the length of (overline{ab})?

Explanation:

Step1: Assume points A, B, C are collinear

If points A, B, C are collinear and B is between A and C, then by the segment - addition postulate, \(AC=AB + BC\).

Step2: Solve for \(AB\)

We can rewrite the formula as \(AB=AC - BC\). Given \(AC = 62\) and \(BC = 27\), we substitute the values into the formula: \(AB=62−27\).

Step3: Calculate the value of \(AB\)

\(AB = 35\)

Answer:

35