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
Here's how to find the length of the hypotenuse: Step 1: Identify the lengths of the two given sides of the right-angled triangle. Let the two shorter sides (legs) be a and b. a = 6 cm b = 8 cm Step 2: Apply the Pythagorean theorem, which states that for 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 Step 3: Substitute the given values into the formula and calculate. 6^2 + 8^2 = c^2 36 + 64 = c^2 100 = c^2 Step 4: Solve for c by taking the square root of both sides. c = sqrt(100) c = 10 cm The length of the hypotenuse is 10 cm. What's next?