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Find the length of side a. Round to the nearest tenth.

A) 12


B) 378.4


C) 18.3


D) 19.5

Find the length of side a. Round to the nearest tenth. A) 12 B) 378.4 C) 18.3 D) 19.5-example-1
User Zenil
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1 Answer

4 votes

Answer:

D) 19.5

Explanation:

The law of cosines gives you the relation ...

a² = b² + c² - 2bc·cos(A)

Substituting the given values, you have ...

a² = 13² + 11² - 2·13·11·cos(108°) ≈ 378.379

a ≈ √378.379 ≈ 19.452 . . . . take the square root

a ≈ 19.5

User Pebbles
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