Maharashtra State BoardSSC (English Medium) 9th Standard
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Construct δ Abc Such that ∠ B = 100 ∘ , Bc = 6.4 Cm, ∠ C = 50 ∘ and Construct Its Incircle. - Geometry

Diagram

Construct Δ ABC such that ∠B = 100° , BC = 6.4 cm, ∠C = 50° and construct its incircle.

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Solution

Steps of construction:

  1. Draw ABC of given measures.
  2. Draw angle bisectors of B and C
  3. Name the point of intersection of angle bisectors as I.
  4. Draw a perpendicular IM on side BC. Point M is the foot of the perpendicular.
  5. With I as center and IM as radius, draw a circle that touches all sides of the triangle. 

Concept: Construction of the Incircle of a Triangle.
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APPEARS IN

Balbharati Mathematics 2 Geometry 9th Standard Maharashtra State Board
Chapter 6 Circle
Practice Set 6.3 | Q 1 | Page 86
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