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one side of triangle is double the other and the angles opposite these sides differ by π/3 . show that the angle is right angled triangle |
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Answer» > Using Sine law in the triangle, sin(θ−60 ) a
= sinθ 2a ⇒ 2 1 = sinθ sinθ⋅cos60 0 −cosθ⋅sin60 0 ⇒1=1− 3
cotθ ⇒cotθ=0 ⇒θ= 2 π
Now, one angle is 90 0 , one is 30 0 and the last is 60 0
So, its a right-angled triangle only.
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