Mathematics
Construct a triangle ABC in which BC = 6.5 cm, AB = 5.5 cm, AC = 5 cm. Construct the incircle of the triangle. Measure and record the radius of incircle.
Constructions
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Answer
Steps of construction :
Draw a line segment BC = 6.5 cm.
With B as center, draw an arc of radius 5.5 cm.
With C as center, draw an arc of radius 5 cm meeting another arc at point A.
Join AB and AC.
Draw bisectors of ∠ABC and ∠ACB, meeting at point O.
Draw ON ⊥ BC.
With O as center and radius ON, draw a incircle touching all sides of △ABC. Measure ON.
On measuring,
ON = 1.6 cm.
Hence, above is the required incircle with radius 1.6 cm.
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