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 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). If the legs are a and b, and the hypotenuse is c, then a^2 + b^2 = c^2. To find the hypotenuse, we take the square root: c = sqrt(a^2 + b^2). a) Step 1: Identify the legs and the hypotenuse. The legs are p and q. The hypotenuse is r. Step 2: Apply the Pythagorean theorem to find the hypotenuse r. r^2 = p^2 + q^2 r = sqrt(p^2 + q^2) b) Step 1: Identify the legs and the hypotenuse. The legs are s and t. The hypotenuse is u. Step 2: Apply the Pythagorean theorem to find the hypotenuse u. u^2 = s^2 + t^2 u = sqrt(s^2 + t^2) c) Step 1: Identify the legs and the hypotenuse. The legs are o and n. The hypotenuse is m. Step 2: Apply the Pythagorean theorem to find the hypotenuse m. m^2 = o^2 + n^2 m = sqrt(o^2 + n^2) What's next?