ALGEBRA

1. [pic 1][pic 2][pic 3][pic 4][pic 5][pic 6][pic 7][pic 8][pic 9][pic 10][pic 11][pic 12][pic 13][pic 14][pic 15][pic 16][pic 17][pic 18][pic 19][pic 20][pic 21][pic 22][pic 23][pic 24][pic 25][pic 26][pic 27][pic 28][pic 29]

[pic 30]

[pic 31]

1. P=1/2 ( a+b+c )                  P=1/2 (150.00 + 212.93+14301)[pic 32]

II.

P= ½ (323.93+125+212.84)[pic 33]

P=275.385 / 2 =

P – a = 12.6925

P – b = 75.2375

P – c = 75.1475

[pic 34]

Tan ½ A = √ (75.2375) (75.1475) = Tan ½ A = 1.79864609 =
                      (137.6925 (12.6925)

A = 121° 51´15.05”

Tan ½ A = √ (P – b) (P – c)
                          P(P – a)[pic 35]

P – a = 102.97

P – b = 40.04

P – c = 109.96

Tan ½ A = √ (40.04) (109.96) = Tan ½ A = 0.4111256122 =
                      252.97 (102.97)[pic 36]

A = 44°45´51.5”

[pic 37]

Tan ½ B = √ (102.97) (109.96) = tan ½ B = 1.057282825
                      252.97 (40.04)

B = 93°11´23.48”

[pic 38]

Tan ½ C = √ (102.97) (40.04) = tan ½ C = 0.3849909448
                     252.97 (109.96)

C= 42°6´45.03”[pic 39]

S = √ 252.97 (102.97) (40.04) (109.96)

S = 10709.13188

[pic 40]

Tan ½ B = √ (12.6925) (75.1475)      = tan ½ B = 0.3034300117
                      (137.6925) ( 75.2375)

B = 33°45´31.48”

Tan ½ C = √(12.6925) (75.2375)     = tan ½ C = 0.303793413
                     (137.6925)(75.1475)[pic 41]

C = 33°47´48.74”[pic 42]

S = √ 137.6925 (75.2375) (75.1475) (12.6925)

S = 3143.425525

Tan ½ B = √ (142.228882) (44.48370623)     =  tan ½ B = 1.431125586
                      (168.3562938) (18.35.62938)[pic 43]

B = 110°6´43.55”

Tan ½ C = √ (142.228882) (18.3562938)         = tan ½ C = 0.5905569467
                      (168.3562938) (44.48370623)[pic 44]

C = 61°7´42.74”

P = ½ ( a+b+c)

P = ½ (212.84 +  190.00 + 310.5851751)

P = 336.7125876 / 2

P = 168.3562938[pic 45]

P – a = 142.2288813

P – b = 18.3562938

P – c = 44.48370623

Tan ½ A = √ (18.3562938) (44.48370623)    =  tan ½ A = 0.1846649219
                      (168.3562938) (142.2288813)[pic 46]

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