Question
Draw a $\triangle\text{ABC}$ with AB = 6cm, BC = 7cm and CA = 8cm. Using ruler and compass alone, draw (i) the bisector AD of $\angle\text{A}$ and (ii) perpendicular AL from A on BC. Measure LAD.
✓
Answer
Steps of construction:
Step I: Draw a line segment BC of length 7cm.
Step II: With centre B, draw an arc of radius 6cm.
Step III: With centre C, draw an arc of radius 8cm intersecting the previously drawn arc at A.
Step IV: Join AC and BC to get the required triangle.
Angle bisector steps:
Step I: From A, cut arcs of equal radius intersecting AB and AC at E and F respectively.
Step II: From E and F, cut arcs of equal radius intersecting at point H.
Step III: Join AH and extend to produce the angle bisector of angle A, meeting line BC at D.
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