trigo. problem

2011-03-16 5:34 am
suppose a:b:c = 3:7:9
find the large angle of 三角形ABC

回答 (2)

2011-03-16 5:44 am
✔ 最佳答案
Let a = 3k, b = 7k and c = 9k
By ∠ sum of Δ,
3k + 7k + 9k = 180
19k = 180
k = 180/19
The largest angle of ΔABC = 9(180/19) = 1620/19 (~85.3 deg, corr. to 3 sig. fig.)
參考: Knowledge is power.
2011-03-16 7:36 am
suppose a:b:c = 3:7:9
find the large angle of 三角形ABC
Sol
Cosw
=(3^2+7^2-9^2)/(2*3*7)
=(9+49-81)/42
=-23/42
w=123.2度


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