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2 years ago

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

Mathematics

2 answers:

JulsSmile [24]2 years ago

5 0

Answer:

a = 7

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

a = 7

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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