2 years ago

Can a triangle have sides with the given lengths? Explain. a = 6 yd, b = 9 yd, c = 11 yd

Mathematics

1 answer:

RideAnS [48]2 years ago

3 0

Answer:

Step-by-step explanation:

Use the cosine rule and see if the numbers hold true. a^2 = b^2 + c^2 - (2bc (cos x))

By substituting in our values I get that cos x = 0.838... which is possible. If cos x would equal 1.5, the there is no solution and the triangle would not be possible.

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Which term of the AP 21, 18, 15 ...... is -81 ?

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Given AP is 21 ,18,15,...

First term = 21

Common difference = 18-21 = -3

Let an = -81

We know that

an = a+(n-1)d

⇛21+(n-1)(-3) = -81

⇛ 21-3n+3 = -81

⇛24-3n = -81

⇛ 24+81 = 3n

⇛ 105= 3n

⇛ n = 105/3

⇛ n = 35

35th term of the AP is -81.

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