ICSE Class X Math 2014 Solved Paper

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Question : 39
Total: 52
Construct a ABC with BC=6.5cm,AB= 5.5cm,AC=5cm. Construct the incircle of the triangle. Measure and record the radius of the incircle.
Solution:  

Steps of construction :
(1) Construct a ABC with the given data.
(2) Draw the internal bisectors of B and C. Let these bisectors cut at O.
(3) Taking O as centre. Draw a incircle which touches all the sides of the ABC.
(4) From O draw a perpendicular to side BC which cut at N.
(5) Measure ON which is required radius of the incircle.
ON=1.5cm. (app.)
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