Answer:
x = 3
Step-by-step explanation:
Use Pythagorean Theorem:
4² + x² = (x+2)²
Expand and simplify:
16 + x² = x² + 4x +4
The x² cancel out leaving 16 = 4x +4
Now just solve for x:
Subtracting 4 from both sides gives 12 = 4x
x = 3
You can double check this by substituting 3 into x:
4²+3² = (3+2)²
16 + 9 = 25
