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Someone please help me with this I can’t get it wrong

Someone Please Help Me With This I Cant Get It Wrong class=

Sagot :

Answer:

a = 7

Step-by-step explanation:

Using the Cosine rule in the triangle

a² = b² + c² - (2bc cosA )

   = 2² + (5[tex]\sqrt{3}[/tex] )² - (2 × 2 × 5[tex]\sqrt{3}[/tex] × cos30° )

  = 4 + 75 - (20[tex]\sqrt{3}[/tex] × [tex]\frac{\sqrt{3} }{2}[/tex] ) ← exact value of cos30°

 = 79 - ( 10 × 3)

 = 79 - 30

 = 49 ( take square root of both sides )

a = [tex]\sqrt{49}[/tex] = 7

 

xenia168

Answer:

a = 7

Step-by-step explanation:

a² = b² + c² - 2bc × cos α

a² = 2² + ( 5√3 )² - 2 × 2 × 5√3 × [tex]\frac{\sqrt{3} }{2}[/tex]

a² = 49

a = 7

View image xenia168
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