Question

Solve the triangle. In other words, find all the missing angles and sides. Round all answers to two decimal places. 491 85 11 The following formulas should be helpful for you. sin(A) sin(B) sin(C) a²=b² + c² 2bc cos(A) C Qu Qu​

Answer 1

angle A = 46°

side b = 15.2

side c = 11.2

In solving unknown sides or angles of a triangle we can use sine rule or cosine rule

sine rule states mathematically that

a/sinA = b/sinB = c/sinC

Cosine rule states mathematically that

c² = a² + b² + 2abCosC

angle A = 180 - ( 85 + 49)

angle A = 180 - 134

angle A = 46°

using sine rule

11/sin46 = b/sin85

b sin46 = sin 85 × 11

0.719b = 10.958

b = 10.958÷ 0.719

b = 15.2

solving side c

11/sin46 = c/sin49

c sin46 = sin 49 × 11

0.719c = 8.301

c = 8.301/0.719

c = 11.5