If B = 6 0 ∘ , C = 4 5 ∘ and D divides BC internally in the ratio 1 : 3 and s i n ∀ BAD s i n ⋃ CAD = λ , then

By sine Rule s i n ∠ B A D s i n ∠ C A D = 6 = λ λ 3 + λ 2 − 6 λ + 3 = 6 6 + 6 − 6 6 + 3 = 9

Mathematics - Properties of Triangle Question with Solution | TestHub

MathematicsProperties of TriangleLength of angle bisector and median / Dist. between sp. PointsMedium2 minQB

MathematicsMediuminteger

If $B = 6 0^{\circ}, C = 4 5^{\circ}$ and D divides BC internally in the ratio $1 : 3$ and $\frac{s i n ⋃ CAD}{s i n \forall BAD} = λ$ , then

Answer:

Solution:

By sine Rule $\frac{s i n ∠ C A D}{s i n ∠ B A D} = 6 = λ$ $λ^{3} + λ^{2} - 6 λ + 3 = 66 + 6 - 66 + 3 = 9$

Stream:JEESubject:MathematicsTopic:Properties of TriangleSubtopic:Length of angle bisector and median / Dist. between sp. Points

⏱ 2mℹ️ Source: QB

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