Questions
The x-coordinates of the incentre of the triangle where the mid-points of the sides are and is
a
2+2
b
1+2
c
2−2
d
1−2
detailed solution
Correct option is C
Let D(0,1), E(1,1) and F(1, 0) be the mid-pointsof sides BC,CA and AB respectively of △ABC. Then, thecoordinates of the vertices areA(1+1−0,0+1−1),B(0+1−1,1+0−1),C(0+1−1,1+1−0) i.e. A(2,0),B(0,0),C(0,2)Hence. the coordinates of the incentre are2×22+2+22+22,2×22+2+22+22=(2−2,2−2)Talk to our academic expert!
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If an triangle circumcentre and orthocentre then the coordinates of the midpoint of the side opposite to A are
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