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(1)

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

(a)  a = 3, b = 6, c = 8

(b)  a = 10, b = 8, C = 30 (a)  A = 18.57 , B = 39.56 , C = 121.87 (b)  C = 5.04, B = 52.53 , A = 97.47 (2)

In triangle ABC, the lengths of the sides AB, BC and CA are 7cm, 2cm and b cm respectively, and the size of angle C is 30 . Use the cosine formula to show that , and hence find the exact value of b. Hence, or otherwise, show that  (3) , , find , .

15 , 135 (4) Given that BD = 15, AB = 16, AD = 10 and BDC = 30 ; find the angle of A and the length of BC.

65.83 , 8.22

(5)

In

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\bigtriangleupABC

*** Error message:
Undefined control sequence \bigtriangleupABC.
leading text: $\bigtriangleupABC  , the lengths of the sides are three consecutive integers, the greatest angle is twice that of the least, find the lengths of sides of the triangles. *** QuickLaTeX cannot compile formula: \bigtriangleupABC *** Error message: Undefined control sequence \bigtriangleupABC. leading text:$\bigtriangleupABC



ABC ，其边长为三连续整数，最大的角是最小的两倍，求三边长。
（提示： In a triangle , . Show that triangle is a right angle triangle or isosceles triangle. 