Question

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. Find AK and BK.

Answer 1

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

`AB=AK+BK\\\\\Rightarrow 12=(BK-5)+BK\\\\\Rightarrow 2BK=12+5\\\\\Rightarrow 2BK=17\\\\\Rightarrow BK=(17)/(2)\\\\\Rightarrow BK=8.5.`

And, so we get

`AK=BK-5=8.5-5=3.5.`

Thus, the required length of AK is 3.5 inches and the length of BK is 8.5 units.