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 given values from the problem. The lengths of the two walls (legs of the right-angled triangle) are given as b = 18 m and c = 24 m. The length of the wire fence (hypotenuse) is a. Step 2: Apply the Pythagorean theorem. The formula for the Pythagorean theorem is given as a^2 = b^2 + c^2. Step 3: Substitute the given values into the formula. a^2 = (18\, m)^2 + (24\, m)^2 Step 4: Calculate the squares of the given lengths. a^2 = 324\, m^2 + 576\, m^2 Step 5: Add the squared values. a^2 = 900\, m^2 Step 6: Solve for a by taking the square root of both sides. a = sqrt(900\, m)^2 a = 30\, m The length of the wire fence (a) is 30 m. 30 m Send me the next one 📸