Final answer:
To find the hypotenuse with both legs of a right triangle being of length 5, use the Pythagorean theorem to calculate c = √(5² + 5²), resulting in a hypotenuse of approximately 7.07 units.
Step-by-step explanation:
The question provided is asking for the length of the hypotenuse (HYP) when the lengths of the legs of a right triangle are given. According to the information and the Pythagorean theorem (a² + b² = c²), if both legs are of length 5, the formula to find the hypotenuse (c) is c = √(5² + 5²). When you calculate this, it becomes c = √(25 + 25), which simplifies to c = √50. To find the numerical value of the hypotenuse, you take the square root of 50, which is approximately 7.07. Hence, the length of the hypotenuse when both legs are 5 is approximately 7.07 units.