Construct a Rectangle Abcd; If : Each Diagonal is 6 Cm and the Angle Between Them is 45°. - Mathematics

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Sum

Construct a rectangle ABCD; if :

each diagonal is 6 cm and the angle between them is 45°.

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Solution

Steps :

  1. Draw AC = 6 cm.
  2. Bisect AC at O.
  3. At O, draw ∠XOC = 45° and produce XO to Y.
  4. Cut OB = OD = 3 cm (half the diagonal 6 cm)
  5. Join AB, CB, AD, and CD.
    Thus ABCD is the required rectangle.
Concept: Construction of a Rectangle When Its Length and Breadth Are Given.
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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 3.5 | Page 211
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