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Cosine theorem

Authored by Ainura Ormanova

Mathematics

1st - 3rd Grade

Used 2+ times

Cosine theorem
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10 questions

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1.

MULTIPLE CHOICE QUESTION

10 sec • 1 pt

Media Image

FORMULA OF THE COSINUS THEOREM?

a2=b2+c22×a×c×cosαa^2=b^2+c^2-2\times a\times c\times\cos\alpha

a2=b2+c22×b×c×cosαa^2=b^2+c^2-2\times b\times c\times\cos\alpha

a2=b2+c22×b×c×sinαa^2=b^2+c^2-2\times b\times c\times\sin\alpha

a2=a2+c22a×c×cosαa^2=a^2+c^2-2a\times c\times\cos\alpha

2.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

 b=4  c=5 cosα=60°  a=?b=4\ \text{ }\text{c=5}\ \cos\alpha=60\degree\ \ a=?  

3

54

 21\sqrt{21}  

 13\sqrt{13}  

3.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

 Δ\Delta  ABC,  AC=12, BC=10  ∠ACB=60∘

  AB2AB^2  = ?

128

126

124

122

4.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

 a=2  c=3  β=30°   b=? a=2\ \ c=\sqrt{3}\ \ \beta=30\degree\ \ \ b=?\   

3

1

2

4

5.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

 b=4     c=2+37   A=60°    a=?b=4\ \ \ \ \ c=2+\sqrt{37}\ \ \ \angle A=60\degree\ \ \ \ a=?  

23

5

 5\sqrt{5}  

7

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 α=?\alpha=?  

a=7 b=3 c=8

1

 33\frac{\sqrt{3}}{3}  

0.5

 3\sqrt{3}  

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 α=120°\alpha=120\degree  b=35 c=21  a=?

-49

7

49

 49\sqrt{49}  

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