17. use the pythagorean theorem to find the
figure.

van theorem to find the value of x in the
x + 8
x +1
x +9

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...