Construct an aqullateral triangle with sides 5 cm and justify the construction
Construct perpendicular bisectors of all sides and angle bisectors of all angles of
the same triangle. Write the inference of your observation.
Answers
Given : an equilateral triangle with sides 5 cm
To Find : Construct an equilateral triangle
Construct perpendicular bisectors of all sides and angle bisectors of angles of the same triangle.
Solution:
Step 1 : Draw a line segment B = 5 cm
Step 2 : Using compass width = 5 cm and taking A as center , draw an arc
Step 3 : Keeping compass width same and taking B as center draw an arc intersecting previous arc at C
Step 4 : Join AC & BC
equilateral triangle is constructed
Construct perpendicular bisectors
Using suitable compass width and taking A as center Draw arc on both sides of AB
Keeping compass width same and taking B as center Draw arcs on both sides intersecting arc drawn in previous step at M & N
Draw a line passing through M & N which is perpendicular bisector of AB
Similarly draw perpendicular bisector of AC & BC
Construct angle bisector
Using Suitable compass width and taking A as center draw arc intersecting AB at X & AC at Y
Using Suitable compass width and taking X as center draw an arc
Keeping compass width same and taking Y as center draw an arc intersecting arc drawn in previous step at Z
Draw a ray passing through AZ
AZ is angle bisector of angle A
Similarly draw angle bisector of B & C
Perpendicular bisector & angle bisector of Equilateral triangle intersects at same point
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