MATH SOLVE

3 months ago

Q:
# Solve the triangle if c = 10 and A = 50 degrees

Accepted Solution

A:

Answer:Step-by-step explanation:Since A = 50 degrees, c = 10 ,and since it is a right Triangle, then C = 90 degrees and so B = 180 - (90 +50)......... sum of angles of a triangle B = 180 - 140 B = 40 degrees Using sine rule : a/sin A = b / sin B = c / sin CTo calculate a, then we use a/ sin A = c / sin C , since we know c and C i.e a/ sin 50 = 10 / sin 90recall that sin 90 = 1then we have a / sin 50 = 10 / 1cross multiply a = 10 x sin 50 a = 10 x 0.76604 a = 7.6604We will calculate b following the same procedure b/ sin B = c / sin C b/ sin 40 = 10/ sin 90b/ sin 40 = 10/ 1 b = 10 x sin 40 b = 10 x 0.64279 b = 6.4279Therefore a ≈7.6604 , b ≈ 6.4279