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Lesson: 8.1-正弦定律 Sine Rule [练习题]

(1)
Solve the following triangles, answers of angle correct to 1’, sides correct to 2 decimal places.

(a) A = 40, B = 70, a = 7

(b) A = 35, B = 60, c = 5

(c) a = 6, b = 4, B = 30

(d) a = 5, b = 7, A = 30

(e) a = 5, b = 7, A = 60

(a) C = 70, b = 10.23, c = 10.23

(b) C = 85, a = 2.88, b = 4.35

(c) A = 4835’, C = 10125’, c = 7.84 or A = 13125’, C = 1835’, c = 2.55

(d) B = 44.43, C = 105.57, c = 9.63 or B = 135.57, C = 14.43, c = 2.49

(e) 无解

(2)

In ABC, (a + b) : (b + c) : (c + a) = 3 : 4 : 5, find sinA : sinB : sinC.

ABC中, (a + b) : (b + c) : (c + a) = 3 : 4 : 5, 求 sinA : sinB : sinC

2 : 1 : 3

(3)

If the angles of a triangle are in a ratio 1 : 6 : 3, and the perimeter of the triangle is 100cm, find the length of three sides.

14.93cm， 45.97cm，39.10cm

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