Answer:
Angle C = 68.7°
Step-by-step explanation:
The largest angle es angle C ([tex]\beta[/tex])
[tex]26^{2} =22^{2} +24^{2} -2(22)(24)cos\beta[/tex]
[tex]676=484+576-1056cos\beta[/tex]
[tex]676-1060=-1056cos\beta[/tex]
[tex]\frac{-384}{-1056} =cos\beta[/tex]
[tex]\beta =cos^{-1} (\frac{-384}{-1056} )=cos^{-1} (.36363)=68.676=68.7^{o}[/tex]