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Construct a triangle whose perimeter is 6.4 cm, and angles at the base are 60° and 45°.

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Sol;:

Steps of construction:

1. Draw a line segment XY of 6.4cm.

2. Draw DXY = B = 60o and EYX =C = 45o

3. Draw the angle bisector of DXY and EYX which interest each other at A.

4. Draw the perpendicular bisector of AX and AY which interest XY at B and C respectively.

5. Join AB and AC

Therefore ΔABC is the required triangle.

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