Answer:
x=4
Step-by-step explanation:
Pythagorean Theorem: a squared + b squared = c squared
In this case, a = x+1
b=x+8
c=x+9
So, (x+1) squared + (x+8) squared = (x+9) squared
(x+1) squared is x squared +2x+1
(x+8) squared = x squared +16x+64
(x+9) squared = x squared +18x+81
So, x squared +2x+1 +x squared +16x+64=x squared +18x+81
2x squared + 18x+65= x squared +18x+81
Subtracting x squared from both sides,
x squared +18x+65=18x+81
Subtracting 18x from both sides,
x squared +65=81
Subtracting 65 from both sides,
x squared = 16
The square root of x squared is x, and the square root of 16 is 4, so...
x=4
Hope this helps!
Sorry if it's confusing...
