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katrin [286]
3 years ago
9

suppose a triangle has two sides of length 2 and 3 and that the angle between these two sides is 60. what is the length of the t

hird side of the triangle

Mathematics
2 answers:
grin007 [14]3 years ago
8 0

Answer:

2.646 i believe is the answer : )

Step-by-step explanation:

arlik [135]3 years ago
3 0

Answer:

  √7 ≈ 2.646

Step-by-step explanation:

The law of cosines is applicable. It tells you ...

  c² = a² + b² - 2ab·cos(C) . . . . . where a, b, c are triangle side lengths, and angle C is opposite side c.

Filling in the given information, you have ...

  c² = 2² + 3² - 2·2·3·cos(60°) = 4 + 9 - 12·(1/2) = 7

  c = √7 ≈ 2.646

The length of the third side is √7, about 2.646 units.

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