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.
ScanSolve AI Answer
You're on a roll — here's the solution to question 1.3: 1.3.1 Write down the coordinates of B. Step 1: Analyze the diagram. Point B is directly below point C and horizontally aligned with point A. This means the x-coordinate of B is the same as the x-coordinate of C, and the y-coordinate of B is the same as the y-coordinate of A. Step 2: Determine the coordinates of B. Given A = (2; -1) and C = (5; 3). The x-coordinate of B is C_x = 5. The y-coordinate of B is A_y = -1. So, the coordinates of B are (5; -1). B: (5; -1) 1.3.2 Write down the lengths of AB and BC. Step 1: Calculate the length of AB. AB is a horizontal line segment. Its length is the absolute difference of the x-coordinates of A and B. A = (2; -1) B = (5; -1) AB = |x_B - x_A| = |5 - 2| = 3 Step 2: Calculate the length of BC. BC is a vertical line segment. Its length is the absolute difference of the y-coordinates of B and C. B = (5; -1) C = (5; 3) BC = |y_C - y_B| = |3 - (-1)| = |3 + 1| = 4 AB: 3 BC: 4 What's next?