Posted by **Anonymous** on Saturday, September 11, 2010 at 6:52pm.

Given Triangle ABC: I think there are suppose to be right triangles...

1) If <A = 30º, and c = 20, find a, b, and <B

2) If a = 10 and b = 14, find c, <A, and <B

3) If a = 6 and <B = 53º, find b, c, and <A

4) If c = 13 and b = 12, find a, <A, and <B

5) If <A = 20º and b = 10, find <B, a and c

6) If c = 30 and <A = 40º, find <B, a, and b

- Trignometry -
**Henry**, Saturday, September 11, 2010 at 8:41pm
I'm assuming all rt triangles.

1. Given: A = 30, c = 20.

a = csinA = 20sin30 = 10,

b = ccosA = 20cos30 = 17.3,

B = 90 - A = 90 - 30 = 60.

2. Given: a = 10, b = 14.

c^2 = a^2 + b^2 = 10^2 + 14^2 = 100 + 196 = 296,

c = sqrt(296) = 17.2

tanA = a/b = 10/14 = 0.7143, A = 35.5,

B = 90 - A = 90 - 35.5 = 54.5.

The remaining problems are similar.

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