Q16 of 33 Page 11

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

Steps of construction

STEP1: Draw BC of 3.6 cm.





STEP2: Draw ∠B = 60°



STEP3: From ray BX, cut BD of 4.8 cm.




STEP4: Draw segment DC.




STEP5: Draw the perpendicular bisector of BD, intersecting the ray BX at A.




STEP6: Draw segment AC.




ABC is the required triangle.


More from this chapter

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Construct a triangle PQR given that QR = 3cm, ∠PQR = 45° and QP – PR = 2 cm. Also give its justification.

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Construct each of the following and give justification:

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Construct a triangle ABC, in which ∠B = 60°, ∠ C = 45° and AB + BC + CA = 11 cm.

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Construct a triangle PQR in which QR = 6cm, ∠Q = 60° and PR – PQ = 2cm.