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Draw an angle ABC = 75°. Find a point P such that P is at a distance of 2 cm from AB and 1.5 cm from BC. - Mathematics

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Question

Draw an angle ABC = 75°. Find a point P such that P is at a distance of 2 cm from AB and 1.5 cm from BC.

Diagram

Solution

 
Steps of construction:  

  1. Draw a ray BC.
  2. At B, draw a ray BA making an angle of 75° with BC.
  3. Draw a line l parallel to AB at a distance of 2 cm
  4. Draw another line m parallel to BC at a distance of 1.5 cm which intersects line l at P.
    P is the required point.
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Chapter 16: Loci (Locus and Its Constructions) - Exercise 16 (B) [Page 241]

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Selina Mathematics [English] Class 10 ICSE
Chapter 16 Loci (Locus and Its Constructions)
Exercise 16 (B) | Q 22 | Page 241

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