ICSE Class X Math 2014 Solved Paper

Question : 39 of 52

Marks: +1, -0

Construct a

△ A B C

with

B C=6.5 {\cm}, A B=

5.5 {\cm}, A C=5 {\cm}

. 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}=1.5 {\cm} \;\text ". (app.) "\;

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