Question

Construct a triangle ABC in which AB is 5.5 cm, BC is 4 cm and AC is 6.2 cm. Draw its three medians. Are all medians equal.​

Answer 1

Answer:

Steps of Construction:

i) Draw a line segment BC = 4.5 cm

ii) With B as centre and radius 6 cm and C as centre and radius 5 cm, draw arcs which intersect each other at A.

iii) Join AB and AC.

ABC is the required triangle.

iv) Draw the angle bisector of ∠BAC

v) Draw lines parallel to AB and AC at a distance of 2 cm, which intersect each other and AD at O.

vi) With centre O and radius 2 cm, draw a circle which touches AB and AC.

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