573589
27.11.2019 •
Mathematics
Suppose a triangle has two sides of length 3 and 4 and that the angle between these two sides is pi/3. what is the length of the third side of the triangle?
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Ответ:
c² = a² + b² - 2 a b cos C
c² = 4² + 3² - 2 · 4 ·3 · cos 60° = 16 + 9 - 24 · 1/2 = 25 - 12 = 13
The length of the third side of a triangle is c = √ 13 ≈ 3.6
Ответ:
3.6
Step-by-step explanation:
It is given that a triangle has two sides of length 3 and 4 and that the angle between these two sides is
, thus using the cosine angle theorem, we have
Substituting the given values, we get
Therefore, the length of the third side of the triangle will be 3.6
Ответ: