binionjonathan binionjonathan
  • 27-10-2018
  • Mathematics
contestada

ΔABC has three sides with these lengths: AB = 9, BC = 40, and CA = 41. What is the value of cos C? A. `9/41` B. `40/9` C. `40/41` D. ` 9/40`

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jimrgrant1 jimrgrant1
  • 28-10-2018

C

using the cosine rule

cosC = ( a² + b² - c² ) / (2ab )

with a = 40, b = 41 and c = 9, then

cosC = ( 40² + 41² - 9² ) /( 2× 40 × 41 ) = [tex]\frac{3200}{3280}[/tex] = [tex]\frac{40}{41}[/tex] → C



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