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seropon [69]
3 years ago
12

Suppose a triangle has 2 sides of length 3 and 4 and that the angle between these two sides is 60 degrees. what is the length of

the third side of the triangle?
a. 3
b. sr13
c sr3
d 4sr3

Mathematics
1 answer:
shusha [124]3 years ago
8 0

Answer:

\boxed{b.\:\:\:\sqrt{13}}

Step-by-step explanation:

Let the third side of the triangle be h\: units.


We can apply the cosine rule to find h.


h^2=3^2+4^2-2(3)(4)\cos(60\degree)

We evaluate to obtain;

\Rightarrow h^2=9+16-24(\frac{1}{2})


\Rightarrow h^2=25-12


\Rightarrow h^2=13

We take the positive square root of both sides to obtain;

\Rightarrow h=\sqrt{13}


The correct answer is B.

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