Answer:
b = 7.56
C = 9.24
Step-by-step explanation:
Find the last angle of the triangle.
The sum of all the angles in a triangle is
180 degrees.
A+
90+55=180
A=35
Then find c
The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.
cos(B)=adj/hyp or Cos(55) = 5.3 / c
re write as
C = 5.3 / cos55
This gives you c = 9.24
Then use the Pythagorean theorem to find the unknown side.
[tex]a^{2} +b^{2} = c^{2} \\rewrite as\\ b^{2} = c^{2} - a^{2} \\b^{2} = 9.2^{2} - 5.3^{2} \\b^{2} = 57.29\\b = 7.56[/tex]
