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Construct a triangle ABC in which BC = 5 cm, ∠B = 60° and AC + AB = 7.5 cm. - Mathematics

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प्रश्न

Construct a triangle ABC in which BC = 5 cm, ∠B = 60° and AC + AB = 7.5 cm.

भौमितिक रेखाचित्रे

उत्तर

Given, in ΔABC, BC = 5 cm, ∠B = 60° and AC + AB = 7.5 cm.

To construct the triangle ABC use the following steps:

  1. Draw the base BC = 5 cm.
  2. At the point B make an ∠XBC = 60°.
  3. Cut a line segment BD equal to AB + AC = 7.5 cm from the ray BX.
  4. Join DC.
  5. Make an ∠DCY = ∠BDC.
  6. Let CY intersect BX at A.
    Then, ΔABC is the required triangle.
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पाठ 11: Construction - Exercise 11.3 [पृष्ठ ११०]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 9
पाठ 11 Construction
Exercise 11.3 | Q 5. | पृष्ठ ११०

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