The value of x, given the length of the sides can be found to be 8.
How to find the value of x ?
To find the value of x, we can use the Pythagorean theorem.
In this case, we have a right triangle with legs of (x + 7) m and x m, and a hypotenuse of (x + 9) m. Plugging these values into the Pythagorean theorem, we get:
(x + 9)² = (x + 7)² + x²
Expanding both sides of the equation, we get:
x² + 18x + 81 = x² + 14x + 49 + x²
Combining like terms, we get:
4x = 32
x = 32 / 4
x = 8
Therefore, the value of x is 8.