Question

Use the Law of Cosines to solve for the largest angle in the triangle with the given measures. Round answers to the nearest tenths.

A=22m b=24m c=26 m

Answer 1

Angle C = 68.7°

Explanation:

The largest angle es angle C (
`\beta`)

`26^(2) =22^(2) +24^(2) -2(22)(24)cos\beta`

`676=484+576-1056cos\beta`

`676-1060=-1056cos\beta`

`(-384)/(-1056) =cos\beta`

`\beta =cos^(-1) ((-384)/(-1056) )=cos^(-1) (.36363)=68.676=68.7^(o)`