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Annette [7]
2 years ago
14

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

Mathematics
2 answers:
JulsSmile [24]2 years ago
5 0

Answer:

<em>a = 7</em>

Step-by-step explanation:

a² = b² + c² - 2bc × cos α

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

a² = 49

<em>a = 7</em>

natali 33 [55]2 years ago
3 0

Answer:

a = 7

Step-by-step explanation:

Using the Cosine rule in the triangle

a² = b² + c² - (2bc cosA )

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

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

 = 79 - ( 10 × 3)

 = 79 - 30

 = 49 ( take square root of both sides )

a = \sqrt{49} = 7

 

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