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baherus [9]
3 years ago
7

PLEASE HELP.

Mathematics
2 answers:
Arte-miy333 [17]3 years ago
8 0
We know that
the law of cosines establish 
b²=a²+c²-2*a*c*cos B
in this problem
a=4 units
c=5 units
B=60°
so
b²=a²+c²-2*a*c*cos B
b²=4²+5²-2*4*5*cos 60°
b²=16+25-40*(1/2)
b²=16+25-20
b=√[16+25-20]

the answer is
b=√[16+25-20]

NikAS [45]3 years ago
5 0

Answer:

(B) b=\sqrt{25+16-20}

Step-by-step explanation:

It is given that we have to consider triangle ABC in which ∠B=60° and the side lengths are a=4 and c=5.

Therefore, in order  to find the value of the side length b, we will use the Law of Cosines that is:

b^2=c^2+a^2-2(c)(a)cosB

substituting the given values, we get

b^2=(5)^2+(4)^2-2(5)(4)cos60^{\circ}

b^2=25+16-40(\frac{1}{2})

b^2=25+16-20

b=\sqrt{25+16-20}

which is the required side length of b.

Thus, option B is correct.

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