Answer:
x = 9.8
Step-by-step explanation:
The hypotenuse of left triangle is a
The hypotenuse of left triangle is b
then a^2 + b^2 = (12 + 8)^2
then a^2 = x^2 + 12^2
and b^2 = x^2 + 8^2
substitute a and b
(x^2 + 12^2) + (x^2 + 8^2) = (12 + 8)^2
x^2 + 144 + x^2 + 64 = 400
2x^2 = 192
x^2 = 96
x = 9.79 or 9.8
