In a triangle ABC ,30A+6B=5C. determine angle A,AngleB and Angle C

Asked by gpnkumar0 | 5th Sep, 2016, 08:58: PM

Expert Answer:

begin mathsize 16px style In space increment ABC comma
30 straight A plus 6 straight B equals 5 straight C
Divide space both space sides space by space 5 comma space we space get
6 straight A plus 1.2 straight B equals straight C
rightwards double arrow straight C equals left parenthesis straight A plus straight B right parenthesis plus left parenthesis 5 straight A plus 0.2 straight B right parenthesis
rightwards double arrow straight C greater than left parenthesis straight A plus straight B right parenthesis
straight A space and space straight B space are space positive comma space rightwards double arrow straight C greater than straight A plus straight B
We space know space that space sides space opposite space greater space angles space are space greater comma space that space is comma space AB greater than BC plus AC.
This space is space not space possible comma space since space in space straight a space triangle comma space the space sum space of space any space two space sides space is space always space greater space than space the space third space side.
So comma space there space is space no space such space triangle space that space exists space with space the space given space relation. end style

Answered by Rebecca Fernandes | 5th Sep, 2016, 10:08: PM