Ex 7.5, 2 (Optional)
In a triangle locate a point in its interior which is equidistant from all the sides of the triangle.
An interior point in a triangle which is equidistant from all the sides is its incenter
To locate the incenter of ∆ABC,
We find intersection of
its angle bisectors
Finding Angle bisector of ∠ B
Draw an arc of any radius intersecting BA and BC at points E & D
Next, taking D and E as centers
and with the radius more than 1/2 DE,
draw arcs to intersect each other.
3. Mark the point as F.
4. Join BF
So, BF is the bisector of the ∠ B
Similarly,
find Angle bisector of ∠ C
CI is the angle bisector of ∠ C
Mark point O as intersection of BF and CI
Thus, point O is the incenter of Δ ABC
Point O is the required point

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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