Using Ruler and Compasses Only, Construct a Parallelogram Abcd, in Which : Ab = 6 Cm, Ad = 3 Cm and ∠Dab = 60°. in the Same Figure Draw the Bisector of Angle Dab and Let It Meet Dc at Point P. - Mathematics

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Sum

Using ruler and compasses only, construct a parallelogram ABCD, in which : AB = 6 cm, AD = 3 cm and ∠DAB = 60°. In the same figure draw the bisector of angle DAB and let it meet DC at point P. Measure angle APB.

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Solution

Steps :

  1. Draw AB = 6 cm.
  2. At A draw ∠QAB = 60°.
  3. From AQ cut AD = 3 cm.
  4. From D, draw an arc of radius 6 cm.
  5. From B, draw an arc of radius 3 cm which meets the first arc at C.
  6. Join CD and BC.
    Thus ABCD is the required ||gm.
  7. Bisect ∠DAB, so that bisector meets CD at P.
  8. Join PB and measure ZAPB.
    ∴ ∠APB = 90°.
Concept: Construction of Parallelograms
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Chapter 18: Constructions - Exercise 18 (D) [Page 212]

APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 18 Constructions
Exercise 18 (D) | Q 8 | Page 212

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