The value of QS is 8 and SR is 9.6
What is bisector of angle in triangle ?
An angle bisector is a straight line drawn from the vertex of a triangle to its opposite side in such a way, that it divides the angle into two equal or congruent angles. Angle Bisector Theorems of Triangles.
According to the question
The bisector of an angle of a triangle divides the opposite side into segments that are proportional to the adjacent sides =
10/12 = (3x+2)/(5x-0.4)
10(5x-0.4) = 12(3x+2)
50x - 4 = 36x + 24
50x - 36x = 24 + 4
14x = 28
x = 28/14
x = 2
QS = 3x + 2 = 3 × 2 + 2 = 6 + 2 = 8
SR = 5x - 0.4 = 5 × 2 - 0.4 = 10 - 0.4 = 9.6
Hence, the value of QS is 8 and SR is 9.6
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