Answer:
x = 12Step-by-step explanation:
y = √(12.8²+9.6²) = √256 = 16
x² = 9.6²+z² .....(1)
(12.8+z)² = 16²+x².... (2)
Substituting value of x from equation 1,
(12.8+z)² = 16²+9.6²+z²
12.8² +z² +2×12.8×z = 16²+9.6²+z²
163.84 + 25.6z = 348.16
25.6z = 348.16-163.84
25.6z = 184.32
z = 184.32/25.6
z = 7.2
Putting value of z in equation 1,
x² = 9.6²+7.2²
x= √144
x = 12