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10. Sine and Cosine Formulae and their Applications
Home · Class 11 · Maths · Ref. Book · 10. Sine and Cosine Formulae and their Applications
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Q7 of 87 Page 10

If the sides of a triangle are proportional to 2, √6 and √3 – 1, find the measure of its greatest angle.


Lets say


a = 2x, b=√6x and c=(√3-1)x


where x is any constant


Now by putting cosine law


By Cosine law,








Putting Cosine law for B,








Putting Cosine law for C,








So, The largest Angle is 120° i.e. ∠B


More from this chapter

All 87 →
5

In a ∆ABC, if sin A and sin B are the roots of the equation c2x2 – c (a + b) x + ab = 0, then find ∠C.

6

In a ∆ABC, if a = 8, b = 10, c = 12 and C = λA, find the value of λ.

8

If in a ∆ABC, then find the measures of angles A, B, C.

9

In any triangle ABC, find the value of a sin (B – C) + b sin (C – A) + c sin (A – B).

Questions · 87
10. Sine and Cosine Formulae and their Applications
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