Answer:
8
Explanation:
To find the length of the third side, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side (the hypotenuse).
So, in this case, we have:
x^2 + 6^2 = 10^2
Simplifying this equation, we get:
x^2 + 36 = 100
Subtracting 36 from both sides, we get:
x^2 = 64
Taking the square root of both sides, we get:
x = 8 or x = -8
Since the length of a side of a triangle can't be negative, the length of the third side is x = 8 cm.