Given ABC, what is the value of x? Write the answer as a decimal number

9514 1404 393

  12.25

Step-by-step explanation:

The angle bisector divides the triangle sides proportionally, so we have ...

  x/3.5 = 7/2

  x = 3.5×7/2 . . . . multiply by the denominator

  x = 12.25

Additional comment

The proportion can be written 4 ways. I find it convenient to write it with the unknown value in the numerator. That way, the solution is found in one step: multiply by the denominator.