Answer:
x r 1.26 cm
Explanation:
This can easily be solved by congruence.
Both triangles have the same proportions.
9.8 : 8.8 = (2 + 9.2) : (x + 8.8)
Because these are proportional, we can use and write this as if they were fractions.
9.8 / 8.8 = (2 + 9.2) / (x + 8.8)
multiply crosswise, gives:
9.8 * (x + 8.8) = (2 + 9.2) * 8.8
9.8 * x + 9.8 * 8.8 = (11.2) * 8.8
9.8 * x + 86.24 = 98.56
9.8 * x = 98.56 - 86.24
9.8 * x = 12.32
Divide left and right of the = sign by 9.8 gives,
x = 12.32 / 9.8
x = 1.2(571428)
x = 1.26 cm