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
To find the length of BD for question 1.2: Step 1: Recall the properties of a rectangle. In a rectangle, the diagonals are equal in length and bisect each other. This means that the point where the diagonals intersect (O) divides each diagonal into two equal parts. Also, all four segments from the center to each vertex are equal in length. So, AO = OC = BO = OD. Step 2: Use the given information to find the length of diagonal AC. We are given that AO = 5 cm. Since AO = OC, the full length of diagonal AC is AO + OC = 5 cm + 5 cm = 10 cm. Step 3: Determine the length of diagonal BD. Because the diagonals of a rectangle are equal in length, BD = AC. Therefore, BD = 10 cm. The length of BD is B. 10 cm. What's next?