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Construct a rhombus ABCD, BC = 6 cm and ∠B = 120°. - Mathematics

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प्रश्न

Construct a rhombus ABCD, BC = 6 cm and ∠B = 120°.

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उत्तर

Given:

  • Rhombus ABCD
  • Side BC = 6 cm
  • Angle ∠B = 120°


Steps of construction:

1. Draw side BC = 6 cm.

2. At point B, construct an angle of 120° (∠B = 120°).

3. From point B, along the direction of the angle constructed, cut off segment BA = 6 cm since all sides of a rhombus are equal.

4. At point C, construct an angle of 60° since adjacent angles of a rhombus are supplementary and angles at B and C add up to 180°.

5. From point C, along this angle, cut off segment CD = 6 cm.

6. Join points A and D to complete the rhombus ABCD.

ABCD is the required rhombus with side length 6 cm and ∠B = 120°.

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पाठ 12: Rectilinear Figures (Theorems on Parallelograms and Construction of Polygons) - MISCELLANEOUS EXERCISE [पृष्ठ १५२]

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बी निर्मला शास्त्री Mathematics [English] Class 9 ICSE
पाठ 12 Rectilinear Figures (Theorems on Parallelograms and Construction of Polygons)
MISCELLANEOUS EXERCISE | Q II. 4. | पृष्ठ १५२
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