Question:
Construct a triangle whose perimeter is 6.4 cm, and angles at the base are 60° & 45°.
Solution:
Steps of Construction:
1. Draw a line segment XY of 6.4 cm.
2. Draw ∠DXY = 60° and ∠EYX = 45°.
3. Draw the angle bisectors of ∠DXY and ∠EYX which intersect each other at A.
4. Draw the perpendicular bisector of AX and AY which intersect XY at B and C respectively.
5. Join AB and AC.
Hence △ABC is the required triangle.
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