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
Step 1: Identify the shape and relevant theorem. The problem describes a rope tied diagonally across a corner, forming a right-angled triangle with sides of 6m and 8m. The length of the rope is the hypotenuse of this triangle. We will use the Pythagorean theorem. Step 2: Apply the Pythagorean theorem. The Pythagorean theorem states that for a right-angled triangle, a^2 + b^2 = c^2, where a and b are the lengths of the two shorter sides (legs), and c is the length of the hypotenuse. Given a = 6m and b = 8m, we need to find c. c^2 = (6 m)^2 + (8 m)^2 Step 3: Calculate the squares of the sides. c^2 = 36 m^2 + 64 m^2 Step 4: Sum the squared values. c^2 = 100 m^2 Step 5: Find the square root to get the length of the rope. c = sqrt(100 m)^2 c = 10 m The length of the rope must be 10 m. Send me the next one 📸