Question
Construct a right-angled triangle whose perimeter is equal to 10cm and one acute angle equal to 60°.
✓
Answer
Steps of Construction:
- Draw a line segment XY of 10cm.
- Draw $\angle\text{DXY}=90^\circ$ and $\angle\text{EYX}=60^\circ.$
- Draw the angle bisectors of $\angle\text{DXY}$ and $\angle\text{EYX}$ which intersect each other at A.
- Draw the perpendicular bisector of AX and AY which intersect XY at B and C respectively.
- Join AB and AC.
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