Q. 174.6( 20 Votes )

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

Answer :

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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