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In triangle ABC, c = 9 m/_B = 65° and a = 105. Find b.​

In triangle ABC, c = 9 m/_B = 65° and a = 105. Find b.​-example-1

2 Answers

0 votes

Answer:

b = 101.52

Explanation:

b^2 = a^2 + c^2 - 2ac CosB

b^2 = 105^2 + 9^2 - 2(105)(9) Cos 65°

b^2 = 11 106 - 798.75

b^2 = 10 307.25

b = 101.52

User Kim Stacks
by
5.6k points
2 votes

Answer:101.52

Explanation:

Given

a=105

c=9


B=65^(\circ)

using cosine rule


2acCosB=a^2+c^2-b^2


2(105)(9)Cos65=105^2+9^2-b^2


b^2=11025+81-798.7485

b=101.524

User Walta
by
5.1k points
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