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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता ७ वी

Construct a triangle of the measures given below. In ∆EFG, l(EG) = 6 cm, m∠F = 65°, m∠G = 45° - Mathematics

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प्रश्न

Construct a triangle of the measures given below.

In ∆EFG, l(EG) = 6 cm, m∠F = 65°, m∠G = 45°

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उत्तर

Using the angle sum property, we can find the third angle of the triangle FEG. 

∠F + ∠E + ∠G = 180°

⇒ 65° + ∠E + 45° = 180°

⇒ ∠E = 70°

Steps of construction:

  1. Draw a line EG = 6 cm.
  2. With E as a centre, draw ∠XEG = 70°.
  3. With G as a centre, draw ∠YGE = 45º.
  4. Let YG and XE meet at point F. 

∆FEG is the required triangle. 

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पाठ 1: Geometrical Constructions - Practice Set 4 [पृष्ठ ६]

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बालभारती Mathematics [English] Standard 7 Maharashtra State Board
पाठ 1 Geometrical Constructions
Practice Set 4 | Q 3 | पृष्ठ ६
बालभारती Mathematics Integrated [English] Standard 7 Maharashtra State Board
पाठ 1 Geometrical Constructions
Practice Set 4 | Q 3. | पृष्ठ ४३

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