Solve ΔABC. (Round your answers to the nearest degree. If there is no solution, enter NO SOLUTION.)

Question

a = 11,    b = 17,    c = 14

α =	°
β =	°
γ =	°

Answer 1

You'll need law of cosines for this question. You can start us off by saying what law of cosines is, then your next step is to plug in the values from this question. Once you have those, do you see what the next step is?

Answer 2

By cosine law b² = a² + c² - 2accosβ, cosβ = (a² + c² - b²)/(2ac) = (11² + 14² - 17²)/(2·11·14)=28//308 = 1/11; β = cos^-1(1/11) ≈ 85°.

By sine law sinα/a = sinβ/b and sinα = asinβ/b = 11sin85°/17; α= sin^-1(11sin85°/17) ≈ 40°;γ

γ= 180° - (α + β) = 180°- (85° + 40°) = 55°