Mathematics - Properties of Triangle Question with Solution | TestHub

MathematicsProperties of TriangleAmbiguous case of triangleEasy2 minQB

MathematicsEasyinteger

In triangle $ABC a = 5; b = 2; ∠ A = π /6$ and $c_{1}$ and $c_{2}$ are the two possible values of third side then $∣ c_{1} - c_{2} ∣$ is

Answer:

Solution:

$a^{2} = b^{2} + c^{2} - 2 ba cos A$

$c^{2} - 2 \cdot 2 \frac{3}{2} \cdot c + 4 - 5 = 0$

$c^{2} - 23 \cdot C + - 1 = 0$

$c_{1} + c_{2} = 23; c_{1} c_{2} = - 1 (c_{1} - c_{2})^{2} = 16$

Stream:JEESubject:MathematicsTopic:Properties of TriangleSubtopic:Ambiguous case of triangle

⏱ 2mℹ️ Source: QB

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