# 7. Draw a Line Segment Ab and by Ruler and Compasses1 Obtain a Line Segment of Length 3/4Ab. - Mathematics

7. Draw a line segment AB and by ruler and compasses1 obtain a line segment of length 3/4AB.

#### Solution

Steps of construction:
1. Draw a line segment AB
2. With center A and radius more than 1/2 AB, draw arcs one on each side of AB.
3. With center B and same radius draw arcs cutting previous arcs at P and Q respectively.
4. Join PQ and which intersect AB at C
5. With center C and radius more than 1/2CB draw arcs, one on each side of CB.
6. With center B and same radius, draw arcs cutting previous arcs at R and S respectively.
7. Join RS and which intersect CB at D
∴ AD = 3/4  AB

Concept: Basic Constructions
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#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 16 Constructions
Exercise 16.1 | Q 7 | Page 4

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