Final answer:
To find the length of the hypotenuse in a right triangle, the Pythagorean Theorem is used with the formula c = √(a² + b²), which calculates the hypotenuse when the lengths of the other two sides, a and b, are known.
Step-by-step explanation:
The student's question asks about the length of the hypotenuse in a right triangle, given that one leg (the opposite side, yx) is known. In this case, we can use the Pythagorean Theorem, which in general form is a2 + b2 = c2, where a and b are the legs of the triangle and c is the hypotenuse. Assuming we have the measurements for the legs of the triangle, we can solve for the hypotenuse using the formula c = √(a² + b²).
For example, if the legs of the triangle measure 9 units and 5 units, then the hypotenuse can be found using √(9² + 5²) = √(81 + 25) = √(106) ≈ 10.3 units. This provides a straightforward method for finding the hypotenuse in a right triangle when the lengths of the other two sides are known.