Mathematics - Properties of Triangle Question with Solution | TestHub

MathematicsProperties of TriangleGeneral (basic formula based)Medium2 minQB

MathematicsMediumsingle choice

If the area $Δ$ of triangle ABC is $b^{2}$ -(c-a)², find tan B.

Answer:

Solution:

$b^{2}$ -(c-a)²=2ac(1-cos B). Since $Δ$ =ac sin B/2, we get sin B=4(1-cos B), or tan(B/2)=1/4. Double-angle formula gives tan B=2(1/4)/(1-1/16)=8/15.

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

⏱ 2mℹ️ Source: QB

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