Question

In triangle ABC side b=16 and alpha = 122 and angle alphabisector is 10. Find other triangle sides.Is my solution correct?

Answer 1

To find the other sides of the triangle, you can use the Law of Sines and the angle bisector theorem. Side a is approximately 18.13 and side c is approximately 2.88.

Step-by-step explanation:

To find the other sides of the triangle, we can use the Law of Sines and the angle bisector theorem. First, using the Law of Sines, we can find angle C: C = 180 - 122 - 10 = 48 degrees. Then, using the angle bisector theorem, we can find the lengths of side a and side c:

a / b = sin(B) / sin(C) => a / 16 = sin(122) / sin(48) => a = (16 * sin(122)) / sin(48) ≈ 18.13

c / b = sin(A) / sin(C) => c / 16 = sin(10) / sin(48) => c = (16 * sin(10)) / sin(48) ≈ 2.88

So the lengths of the other sides are approximately a = 18.13 and c = 2.88.

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