Q. 134.0( 8 Votes )
Find the equation of the bisector of angle A of the triangle whose vertices are A (4, 3), B (0, 0) and C (2,3).
Answer :
Given: the vertices of triangle ABC are A (4, 3), B (0, 0) and C (2, 3).
To find:
The equation of bisector of angle A.
Explanation:
Let us find the lengths of sides AB and AC.
AB = 
5
AC = 
= 2
We know that the internal bisector AD of angle BAC divides BC in the ratio AB: AC, i.e. 5: 2
D 
Thus, the equation of AD is
Formula used: 
⇒ 
⇒ x – 3y +5 = 0
Hence, the equation of line is x – 3y +5 = 0
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The equation of the straight line which passes through the point (-4, 3) such that the portion of the line between the axes is divided internally by the point in the ratio 5 : 3 is
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