Question

Point C ∈ AB , AB = 35 cm. The distance from C to A is 6 cm longer than the distance to B. Find AC and CB.

Answer 1

A - - - - - C - - - B
AC = 20,5 cm
CB = 14,5 cm
AC + CB = AB = 20,5 + 14,5 = 35
AC - CB = 6 cm

Answer 2

Answer:

Length of $AC$ and $CB$ are $20.5\; \rm{cm} \;and\; 14.5\; \rm{cm}$.

Explanation:

Given: Point $C\in AB,\; AB=35\; \rm{cm}$ , $AB=35\; \rm{cm}$. The distance from $C$ to $A$ is $6\; \rm{cm}$ longer than the distance to $B$.

Here, $AC=6+CB$         ....... (1)          (given)

From the figure:

$AB=AC+CB$

 $35=AC+CB$               ........(2)          

 $35=6+CB+CB$

Now, substiuting the value of $CB=14.5\; \rm{cm}$ in equation (2)

$35=14.5+AC\\AC=35-14.5\\AC=20.5\; \rm{cm}$

Therefore, Length of $AC$ and $CB$ are $20.5\; \rm{cm} \;and\; 14.5\; \rm{cm}$.

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