Grade 9Trigonometry
In triangle ABC if medianAD makes an angle they with BC and AB=2AD then sin theta
1 Answer
Vikas TU
Dear student
Let median be x = AD
Then AB = 2X
DC / SinQ = AD / SinC
a/2 /SinQ = x/ Sin c
In triangle ABC
AB /SinC = BC /SinA
2x/SinC = a/SinA
x/SinC = a/2SinB = a/2 / SinQ
a/ 2SinA = a/2sinQ
Hence SinQ = SinA
Then AB = 2X
DC / SinQ = AD / SinC
a/2 /SinQ = x/ Sin c
In triangle ABC
AB /SinC = BC /SinA
2x/SinC = a/SinA
x/SinC = a/2SinB = a/2 / SinQ
a/ 2SinA = a/2sinQ
Hence SinQ = SinA
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