Final answer:
To find the length of the missing side in a right triangle, we can use the Pythagorean theorem.
Step-by-step explanation:
In a right triangle, the Pythagorean theorem states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. Using this theorem, we can solve for the missing side length as follows:
Let the length of the missing side be represented by 'x'. Thus, we have the equation: x² + 5² = 10²
Simplifying the equation: x² + 25 = 100
Subtracting 25 from both sides: x² = 75
Taking the square root of both sides: x = √75
Therefore, the length of the missing side is √75.