Construct a $Δ$ ABC with BC = 6.5 cm, AB = 5.5 cm ,and AC = 5 cm. Construct the incircle of the triangle. What will be the radius of the incircle?

1.6 cm

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1.9 cm

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2.2 cm

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2.4 cm

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Solution

The correct option is A 1.6 cm
Step 1: Draw line segment AC = 5 cm
Step 2: With A and C as centres, draw arcs of radii 5.5 cm and 6.5 cm respectively
Step 3: Mark the point of intersection as B.
Step 4: Construct angle bisectors of $∠$ BAC and $∠$ ACB.
Step 5: Mark point of intersection of angle bisectors as O.
Step 6: Draw pependicular from O to AC and measure the inradius.
The radius of the incircle is 1.6 cm.

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