Which equation can be used to find the unknown side length?
k² = 7² + 23² – 2 · 7 · 23 · cos 15°
7² = k² + 23² – 2 · k · 23 · cos 132°
k/sin 15° = 7/sin 33°
23² = 7² + k²
Which equation can be used to find the unknown side length?
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To find the unknown side length in a triangle using the given options, we can determine which equation relates the sides and angles appropriately.
The best equation from the list is:
k² = 7² + 23² – 2 · 7 · 23 · cos 15°
This equation is derived from the Law of Cosines, which states:
c² = a² + b² – 2ab · cos(C)
where c is the side opposite the angle C, and a and b are the other two sides.
In this equation, you can solve for k (the unknown side length) when you know the lengths of the other two sides (7 and 23) and the included angle (15°).
Make sure to use a calculator to evaluate cos(15°) and substitute the values to find the length of k. If you’d like more detailed assistance, feel free to check our extended services page for further help!