Construct a Quadrilateral Abcd; If: Ab = 8 Cm, Bc = 5.4 Cm, Ad = 6 Cm, ∠A = 60° and ∠B = 75°. - Mathematics

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Sum

Construct a quadrilateral ABCD; if:

AB = 8 cm, BC = 5.4 cm, AD = 6 cm, ∠A = 60° and ∠B = 75°.

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Solution

The rough figure is as follow :

The actual quadrilateral is constructed with the help of the above rough figure.

Steps :

  1. Draw AB = 8 cm.
  2. At A, draw ∠PAB = 60° and cut DA = 6 cm.
  3. At B, draw ∠QBA = 75° and cut BC = 5.4 cm.
  4. Join DC.
    Thus ABCD is the required quadrilateral.
Concept: Constructing a Quadrilateral
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Chapter 18: Constructions - Exercise 18 (D) [Page 211]

APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 18 Constructions
Exercise 18 (D) | Q 1.3 | Page 211
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