Answer:
x=24
Step-by-step explanation:
We can use the Pythagorean theorem to find x
a^2 + b^2 = c^2
where a and b are the legs and c is the hypotenuse
7^2 + x^2 = (x+1)^2
FOIL the right side (x+1) * (x+1) = x^2 +1x +1x+1 = x^2+2x+1
49+x^2 = (x^2 +2x+1)
Subtract x^2 from both sides
49+x^2-x^2 = (x^2 +2x+1) -x^2
49 = 2x +1
Subtract 1 from each side
49-1 = 2x+1-1
48 =2x
Divide by 2
48/2 = 2x/2
24 =x
