Question

Dibuja el triángulo y halla la medida de los ángulos y los lados que faltan. a. b = 70 cm; c= 85 cm; a = 100 cm b. a 18 m; m&B = 65% c = 26 m cc = 6 dm; a = 7,8 dm; b = 9,5 dm d. mC = 41%; b= 105 m; a = 140 m e. b = 98 cm; mA = 15%; c= 125 cm​

Answer 1

Respuesta:a. b = 70 cm; m∡A = 80°; a = 100cm

c =√a²+b² -2ac*cos80°

c = √(100cm)² + (70 cm)² -2*100cm*70 cm*0,174

c =√10000cm²+ 4900cm² - 2436 cm²

c = 111,64 cm

m∡C = arccos b²+c²-a²/2bc

m∡C = arccos (70)² +(111.64)²- (100)²/2*70*111.64

m∡C = 61,89°

m∡B = 180°-61,89°- 80° = 38,11°

b. m∡A = 35°; m∡B = 65°; c = 98cm

m∡C = 180° -65°-35° = 80°

c/senC = a/senA

98/ sen80° =a /sen35°

a = 98* 0,573 /0,985 = 57 cm

b = 98*sen65°/0,985

b = 90,14 cm

c. c = 36 cm; m∡C = 52° ; b = 46 cm

a = √36² +46² -2*36*46*cos 52°

a = √1296 + 2116 - 2039

a = 37 cm

BY:  @Luismgalli  

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