Question

Divide a line segment of length 14 cm internally in the ratio 2 : 5. Also, justify your construction.

Answer 1

Step-by-step explanation:

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Answer 2

The process of dividing any given line internally in a given ratio may not be difficult. You just have to consider diving the whole into given parts.

Explanation:

Here it is already given that the line segment has a length of 14 cm.

So the total ratio is equivalent to 14 cm.

We have to try and split the 14 cm total ratio into smaller parts of 2 and 5.

Now taking the given ratio as total we get 2 + 5 = 7.

We calculate 2/7th of 14 cm and 5/7th of 14 cm to get both ratios.

2/7 of 14 = 4 cm. and 5/7 of 14 cm = 10 cm.

So, dividing 14 cm line in 2:5 ratio will give us 4 cm and 10 cm lines.

Here the correct answers are 2:5 = 4cm : 10 cm.

Justification: - 4 cm + 10 cm = 14 cm (length of given line).