The length of the BC segment is 18cm. Point K is on this segment. The segment BK is 7/8 BC.

The length of the BC segment is 18cm. Point K is on this segment. The segment BK is 7/8 BC. What is the length of the segment KC?

Method 1:

Let us find what the segment ВK is equal to if it is known that it is 7/8 of the ВC, which is respectively equal to 18 cm:

1) 18/8 * 7 = 2.25 * 7 = 15.75 (cm).

Since point K divides the segment BC into two parts, the value of KC = BC – ВK, we get:

2) 18 – 15.75 = 2.25 (cm).

Or 2 way:

Since BC is the sum of the ВC and CК segments, if the whole – BC is denoted by one, we will find what part the CК segment occupies:

1) 1 – 7/8 = 1/8.

Let’s find its length, knowing that the whole is 18 cm:

2) 18/8 * 1 = 2.25 (cm).

Answer: The length of the CS segment is 2.25 cm.