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 right-angled triangle. The image shows a rectangle. The diagonal of a rectangle forms a right-angled triangle with two adjacent sides. The sides of this triangle are the length of the rectangle (60), the width of the rectangle (x), and the diagonal (61). Step 2: Apply the Pythagorean theorem. The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides (legs). Let a = 60, b = x, and c = 61. The formula is a^2 + b^2 = c^2. Step 3: Substitute the values into the formula. 60^2 + x^2 = 61^2 Step 4: Calculate the squares. 3600 + x^2 = 3721 Step 5: Isolate x^2. Subtract 3600 from both sides of the equation. x^2 = 3721 - 3600 x^2 = 121 Step 6: Solve for x. Take the square root of both sides. x = sqrt(121) x = 11 The value of x is 11. That's 2 down. 3 left today — send the next one.