This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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Problem 6: For Fig. 7.1, it is assumed that the third side is (a+b+2) cm, interpreting 'c' as '2' to allow for numerical solutions. Step 1: Set up equations based on the properties of an equilateral triangle. In an equilateral triangle, all sides are equal. 4a = 3b (1) 4a = a+b+2 (2) Step 2: Solve the system of equations for a and b. From equation (2): 4a - a = b+2 3a = b+2 b = 3a-2 (3) Substitute equation (3) into equation (1):