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Construct a δAbc in Which Bc = 3.6 Cm, Ab + Ac = 4.8 Cm and ∠B = 60°. - Mathematics

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Question

Construct a ΔABC in which BC = 3.6 cm, AB + AC = 4.8 cm and ∠B = 60°.

Solution

Steps of construction:
1. Draw a line segment BC of 3.6cm.
2. At the point B, draw `∠`xBC  of 60°
3. With center B and radius 4.8cm, draw an arc which intersects XB at D.
4. Join DC
5. Draw the perpendicular bisector of DC which intersects DB at A.
6. Join AC
Hence ΔABCis the required triangle

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Chapter 16: Constructions - Exercise 16.3 [Page 18]

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RD Sharma Mathematics [English] Class 9
Chapter 16 Constructions
Exercise 16.3 | Q 1 | Page 18

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