Mathematics - Properties of Triangle Question with Solution | TestHub

MathematicsProperties of TriangleGeneral (basic formula based)Medium2 minQB

MathematicsMediumsingle choice

In triangle ABC, (a+b+c)(b+c-a)= $λb c$ . Which interval contains $λ$ ?

Answer:

Solution:

$λ$ =[(b+c)²- $a^{2}$ ]/bc=2+2cos A. Since 0<A< $π$ , -1<cos A<1, so 0< $λ$ <4.

Stream:JEESubject:MathematicsTopic:Properties of TriangleSubtopic:General (basic formula based)

⏱ 2mℹ️ Source: QB

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