Ola Rafael
angulo E = α + β = 360°
β = 90 - 24 + 90 + 54 = 210°
α = 360° - β = 360 - 210 = 150°
lei dos cossenos
AB² = AE² + BE² - 2*AE*BE*cos(α)
AB² = (3√3)² + 20² - 2*3√3*20*cos(150)
cos(150) = -√3/2
AB² = 27 + 400 + 120√3*√3/2
AB² = 27 + 400 + 180 = 607
AB = √607
pronto
m,.
Copyright © 2024 1QUIZZ.COM - All rights reserved.
Answers & Comments
Verified answer
Ola Rafael
angulo E = α + β = 360°
β = 90 - 24 + 90 + 54 = 210°
α = 360° - β = 360 - 210 = 150°
lei dos cossenos
AB² = AE² + BE² - 2*AE*BE*cos(α)
AB² = (3√3)² + 20² - 2*3√3*20*cos(150)
cos(150) = -√3/2
AB² = 27 + 400 + 120√3*√3/2
AB² = 27 + 400 + 180 = 607
AB = √607
pronto
m,.