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

Question

asked Nov 5, 2021 134k views

1 Answer

Lotor · Answer 1 · 2021-11-08T21:29:33+0000

Answer:

The measure of the third side is
$√(7)\ units$

Explanation:

we know that

Applying the law of cosines

c^2=a^2+b^2-2(a)(b)cos(C)

where

C is the angle between side a and side b

we have

$a=2\ units\\b=3\ units\\C=60^o$

substitute

c^2=2^2+3^2-2(2)(3)cos(60^o)

c^2=13-(12)((1)/(2))

c^2=13-6

c^2=7

$c=√(7)\ units$