Triangle STU has the following measures: 𝑚∠𝑈=16∘, 𝑚∠𝑆=50∘, and 𝑠=49.6. What is the length of side t?59.239.0114.017.8
Question
Triangle STU has the following measures:
What is the length of side ?
- 59.2
- 39.0
- 114.0
- 17.8
Solution
The question seems to be asking for the length of side 't' in triangle STU, given the measures of the angles and one side. However, the question is not clear enough.
In order to find the length of a side in a triangle using the measures of the angles, we would typically use the Law of Sines. The Law of Sines states that the ratio of the length of a side of a triangle to the sine of its opposite angle is the same for all three sides of the triangle.
However, in this case, we only have the measure of one side (s=49.6) and we don't know which angle is opposite this side. We also don't have the measure of side 't' or the angle opposite it.
Therefore, we need more information to solve this problem.
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