inatriangleABC, angle C =60 degree and angle A =75 degree. if D is a point on AC such that the area of the triangle BAD is 
3 timess the area of the triangle BCD find angle ABD
KAILASH APARTMENT , 8 Years ago
Grade 11
Trigonometry> inatriangleABC, angle C =60 degree and an...
1 Answers
Arun
first of all, angle B = 45 degree
by sine law
BA/ BC = sin 60/ sin 75
which gives
BA/ BC = 
6 / (3 + 1)
we know that area = (1/2) a* b* sin
let = angle ABD
now
ar(tr BAD) = 3 ar (tr BCD)
BA sin / BC = 3 sin(45 –)
put the value of BA/ BC in the above equation
then solve and you will find that
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