Problema Solution
AC = 15 centimeters, m B = 68°, and m C = 24°. What is BC to two decimal places?
Answer provided by our tutors
the angles of a triangle always sum to 180 degrees thus
m A = 180 - (m B + m C)
m A = 180 - (68 + 24)
m A = 88
using the Law of Sines (or Sine Rule) we have:
AC/(sin (m C)) = BC/(sin (m A))
BC = AC*(sin (m A))/(sin (m C))
BC = 15*sin(88)/(sin(24))
BC = 36.86 cm