alleryIn a triangle ABC, if a = 2, b = 3, C = 60°, find c (using cosine rule):
Asqrt(5)
B5
Csqrt(7) (c² = 4 + 9 - 12 cos 60° = 13 - 6 = 7)
D7
Answer & Solution
Correct answer: C. sqrt(7) (c² = 4 + 9 - 12 cos 60° = 13 - 6 = 7)
Cosine rule: c² = a² + b² - 2ab cos C = 4 + 9 - 2(2)(3)(1/2) = 13 - 6 = 7. c = √7.
Keep practising JEE Main 2023 Mixed
Browse all JEE Main 2023 Mixed questions for GRE, or explore more Mathematics topics.
Related questions
Integration: ∫ tan(x) dx =If f(x) = x³ - 3x² + 2, find x where local maximum occurs:For y = cos x, y'' + y =Find eigenvalues of [[3, 1], [1, 3]]:sin(75°) =Roots of equation x² - 5x + 6 = 0:Distance from point (1, 2, 3) to plane x + y + z - 6 = 0:For GP with first term 2 and common ratio 1/2, sum to infinity: