Mathematics - Properties of Triangle Question with Solution | TestHub

MathematicsProperties of TriangleAmbiguous case of triangleEasy2 minQB

MathematicsEasyinteger

If $A = 3 0^{\circ}, a = 7$ and $b = 8$ in $△ ABC$ , then the number of triangles that can be constructed is

Answer:

Solution:

$\frac{7}{1/2} = \frac{8}{s i n B} \Rightarrow sin B = \frac{8}{14} = \frac{4}{7}$

$\Rightarrow B$ can take two different values.

∴ No.of triangles $= 2$

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

⏱ 2mℹ️ Source: QB

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