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Question
Construct a triangle ABC with the following data: AB = 3 cm,BC = 4 cm and AC = 5 cm. Find its inradius.
Construct a triangle ABC with the following data: AB = 3 cm,BC = 4 cm and AC = 5 cm. Find its inradius.
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Solution
The correct option is B 1 cm
Steps of constructions :
(i) Draw the required triangle using the given parameters.
(ii) Draw the angle bisectors of ∠B and ∠C. Let them meet at point O.
(iii) From O drop a perpendicular to BC, that cuts BC at N.
(iv) With O as centre and ON as radius draw a circle that touches all three sides of the triangle.
(v) Measure ON. ON = 1 cm.
1 cm
Steps of constructions :
(i) Draw the required triangle using the given parameters.
(ii) Draw the angle bisectors of ∠B and ∠C. Let them meet at point O.
(iii) From O drop a perpendicular to BC, that cuts BC at N.
(iv) With O as centre and ON as radius draw a circle that touches all three sides of the triangle.
(v) Measure ON. ON = 1 cm.
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