Q17 of 33 Page 11

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

Steps of construction:

1. Draw a line XY = AB+BC+CA = 11 cm



2. Make an angle equal to ∠B = 60° from X and ∠c = 45° from Y.



3. Bisect ∠PXY and ∠QYX. Let them intersect at A.



4. Make perpendicular bisector of AX and AY.



5. Join AB and AC.



So, ABC is the required triangle.


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