Point C divides segment AB in a ratio of 2: 5. Find the length of the BC segment if AC = 14 cm.

Solution:

This task can be solved using two methods. Let’s consider each of them.

Method 1.

AC: BC = 2: 5.

As you can see, the length of the BC is 5/2 = 2.5 times that of the AC.

BC = 2.5 * AC.

BC = 2.5 * 14 = 35 cm.

Answer: 35 cm.

Method 2.

AC: BC = 2: 5.

That is, the speaker consists of 2 parts, 14 cm long.It means that 1 part is equal to 7 cm.

The sun consists of 5 parts. Let’s find the length of the BC.

BC = 5 * 7 = 35 cm.

Answer: 35 cm.



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