In triangle STU, s = 9 cm, t = 15 cm, and m angle U = 37 degrees. Find u.

Question

Mathematics

Payton Douglas

6 January, 00:12

In triangle STU, s = 9 cm, t = 15 cm, and m angle U = 37 degrees. Find u.

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Answers (1)

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William Fleming · Answer 1

We can solve the length of u using Laws of Cosine since we are given with lengths of two side and one angle.

The solution is shown below:

cos U = (s²+t²-u²) / 2st

cos 37° = (9²+15²-u²) / 2*9*15

0.79863*270=306-u²

u²=306-215.63

u=9.5 units

Therefore, the length of u is 9.5cm.