Construct a triangle ABC in which BC = 7 cm, ∠B = 75° and AB + AC = 13 cm. - Mathematics

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Construct a triangle ABC in which BC = 7 cm, ∠B = 75° and AB + AC = 13 cm.

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Solution

The below given steps will be followed to construct the required triangle.

Step I:- Draw a line segment BC of 7 cm. At point B, draw an angle of 75°, say ∠XBC.

Step II:- Cut a line segment BD = 13 cm (that is equal to AB + AC) from the ray BX.

Step III:- Join DC and make an angle DCY equal to ∠BDC.

Step IV:- Let CY intersect BX at A. ΔABC is the required triangle.

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Chapter 11: Constructions - Exercise 11.2 [Page 195]

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NCERT Mathematics Class 9
Chapter 11 Constructions
Exercise 11.2 | Q 1 | Page 195

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