Question

Draw triangle ABC of all sides 5cm. Draw perpendicular bisector of all the three sides. Do
all the bisectors intersect at the same point

Answer 1

Answer:

Draw triangle ABC of all sides 5cm. Draw perpendicular bisector of all the three sides. Do

all the bisectors intersect at the same point

Answer 2

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 AB = 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 : 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

 

Perpendicular bisectors  intersects at same point

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