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 known values from the figure. The figure shows a right-angled triangle. The hypotenuse (the side opposite the right angle) is 13. One leg is 5. The other leg is y. Step 2: Apply the Pythagorean Theorem. The Pythagorean Theorem states that in a right-angled triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). a^2 + b^2 = c^2 Substitute the known values into the formula: 5^2 + y^2 = 13^2 Step 3: Calculate the squares of the known values. 25 + y^2 = 169 Step 4: Isolate y^2 by subtracting 25 from both sides. y^2 = 169 - 25 y^2 = 144 Step 5: Solve for y by taking the square root of both sides. y = sqrt(144) y = 12 The missing side is 12. That's 2 down. 3 left today — send the next one.