construct a triangleABC if its perimeter is 10.4cm and base angles 45degree and120degree

1)Draw XY = 10.4 cm

2)Draw $\angle $LXY = 45$\xb0$ and $\angle $MYX = 120$\xb0$

3)Draw angle bisector of $\angle $LXY

4)Draw angle bisector of $\angle $MYX such that it meets the angle bisector of $\angle $LXY at point A.

5)Draw the perpendicular bisector of AX such that it meets XY at B

6)Draw the perpendicular bisector of AY such that it meets XY at C.

7)Join AB and AC.

Thus ABC is the required triangle.

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