Answer: The required length of AK is 3.5 inches and the length of BK is 8.5 units.
Step-by-step explanation: Given that the length of segment AB is 12 in. Point K is on segment AB and the distance from K to A is 5 inches shorter than the distance of K to point B.
We are to find the length of AK and BK.
According to the given information, we have
[tex]AB=AK+BK\\\\\Rightarrow 12=(BK-5)+BK\\\\\Rightarrow 2BK=12+5\\\\\Rightarrow 2BK=17\\\\\Rightarrow BK=\dfrac{17}{2}\\\\\Rightarrow BK=8.5.[/tex]
And, so we get
[tex]AK=BK-5=8.5-5=3.5.[/tex]
Thus, the required length of AK is 3.5 inches and the length of BK is 8.5 units.
