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: Define variables for the sides of the triangle. Let x be the length of the shortest side in cm. According to the problem: The second side is twice as long as the shortest side, so its length is 2x cm. The third side is 5 cm longer than the shortest side, so its length is x + 5 cm. Step 2: Write the formula for the perimeter of a triangle. The perimeter P of a triangle is the sum of its three sides. P = side_1 + side_2 + side_3 Step 3: Substitute the expressions for the sides and the given perimeter into the formula. The perimeter is given as 30 cm. x + 2x + (x + 5) = 30 Step 4: Simplify the equation. Combine the terms with x: x + 2x + x + 5 = 30 4x + 5 = 30 This is the equation to find the length of each side. The equation to determine the dimensions of the triangle is: 4x + 5 = 30 That's 2 down. 3 left today — send the next one.