Question

Find c
Round to the nearest tenth

Answer 1

4.2

Explanation:

c=√a2+b2﹣2abcosγ = √72+82﹣2·7·8·cos(32°) ≈ 4.24483

Hope this helps :)

Answer 2

The value of c is 4 feet for the given triangle it is obtained by law of cosines formula.

Explanation:

The given is,

Triangular diagram with side dimensions

Step:1

Law of Cosines formula is,

`c^(2)= a^(2)+b^(2) - 2ab cos C`.......................(1)

From the given diagram,

a = 8 feet

b = 7 feet

Angle, C = 32°

Substitute the values then equation (1) becomes,

`c^(2) =8^(2) +7^(2) -2(8)(7) cos 32`

`= 64+49-2(56)cos32`

`=113-(112)(cos 32)`

Substitute the value of cos 32°

`=113-(112)(0.848)` (∵
`cos32=0.848` )

`= 113-(94.98)`

`c^(2) =18.0186`

Take square root on both sides the above equation becomes,

`c=√(18.0186)`

`=4.244`

c ≅ 4 feet

Result:

The value of c is 4 feet for the given triangle it is obtained by law of cosines formula.