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
The hypotenuse of the right-angled triangle is 5 cm. Steps: 1. Identify the given sides of the right-angled triangle. The two legs are 3 cm and 4 cm. 2. Apply the Pythagorean theorem, which states that for a right-angled triangle with legs 'a' and 'b' and hypotenuse 'c', a² + b² = c². 3. Substitute the given values into the theorem: 3² + 4² = c² 4. Calculate the squares: 9 + 16 = c² 5. Add the values: 25 = c² 6. Take the square root of both sides to find 'c': c = √25 c = 5 cm