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: Represent the sides of the triangle. Let the sides of the triangle be x, 2x, and 3x, since they are in the ratio 1:2:3. Step 2: Use the given perimeter to find the value of x. The perimeter of a triangle is the sum of its sides. x + 2x + 3x = 54 6x = 54 x = (54)/(6) x = 9 Step 3: Calculate the lengths of the shortest and longest sides. The shortest side is x = 9 cm. The longest side is 3x = 3 × 9 = 27 cm. Step 4: Find the difference between the shortest and the longest side. Difference = Longest side - Shortest side Difference = 27 cm - 9 cm Difference = 18 cm The correct option is C. The difference between the shortest and the longest side is C. 18cm. Send me the next one 📸