# Constructions

#### Question 1:

Draw a line segment of length 7.6 cm and divide it in the ratio 5:8. Measure the two parts. Give the justification of the construction.

#### Answer:

A line segment of length 7.6 cm can be divided in the ratio of 5:8 as follows.

**Step 1** Draw line segment AB of 7.6 cm and draw a ray AX making an acute angle with line segment AB.

**Step 2** Locate 13 (= 5 + 8) points, A_{1}, A_{2}, A_{3}, A_{4 }…….. A_{13}, on AX such that AA_{1} = A_{1}A_{2 }= A_{2}A_{3} and so on.

**Step 3** Join BA_{13}.

**Step 4 **T...

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