The value of x is 13.2 cm.
In the given triangle, we can see that the hypotenuse is 15 cm and one of the legs is 7 cm.
We need to find the length of the other leg, which is x.
We can use the Pythagorean Theorem to solve for x.
The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two legs. In this case, we have:
15^2 = 7^2 + x^2
Solving for x, we get:
x^2 = 15^2 - 7^2
x^2 = 225 - 49
x^2 = 176
x = sqrt(176)
x = 13.2 cm (rounded to 1 decimal place)
Therefore, the value of x is 13.2 cm.