Mathematics - Properties of Triangle Question with Solution | TestHub

MathematicsProperties of TriangleMiscellaneous/Mixed (Include Hight & Distance)Medium2 minQB

MathematicsMediummultiple choice

In triangle ABC if $2 a^{2} b^{2} + 2 b^{2} c^{2} = a^{4} + b^{4} + c^{4}$ then angle B is equal to

Answer:

A, B

Solution:

$a^{4} + b^{4} + c^{4} - a^{2} b^{2} - 2 b^{2} c^{2} = 0$

$\Rightarrow (a^{2} - b^{2} + c^{2})^{2} = 2 c^{2} a^{2} \Rightarrow (\frac{a ^{2} - b ^{2} + c ^{2}}{2 a c})^{2} = \frac{1}{2}$

$\Rightarrow cos^{2} B = \frac{1}{2} \Rightarrow cos B = \frac{1}{2}$

$∴ B = 4 5^{0}$ or $13 5^{0}$

Stream:JEESubject:MathematicsTopic:Properties of TriangleSubtopic:Miscellaneous/Mixed (Include Hight & Distance)

⏱ 2mℹ️ Source: QB

Loading discussions...