Triangle may not be drawn to scale Suppose b 55 and c 13 F

Triangle may not be drawn to scale. Suppose b = 55 and c = 13. Find an exact value (report answer as a fraction). You will need to determine the length of the missing side first.

Solution

Given b = 55 , c = 73

using pytthagorous theorem c² = a^{2 +} b²

==> a² = c² - b² = 73² - 55²

==> a² = 2304

==> a = 48

sin(B) = b/c = 55/73

tan(B) = b/a = 55/48

sec(B) = c/a = 73/48

cos(A) = b/c = 55/73

cot(A) = b/a = 55/48

csc(A) = c/a = 73/48