Mathematics
Construct a triangle ABC in which AB = 5 cm, BC = 6.8 cm and median AD = 4.4 cm. Draw incircle of this triangle.
Constructions
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Answer
Steps of construction :
Draw a line segment BC = 6.8 cm.
Mark D as the mid-point of BC.
With B as center and radius = 5 cm draw an arc.
With D as center and radius = 4.4 cm draw an arc cutting another arc at A.
Join AC. Hence, ABC is the required triangle.
Draw angle bisectors of B and C. Let it meet at point I.
Draw IM ⊥ BC.
With I as center and IM as radius draw a circle.
Hence, above is the required incircle of the triangle.
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