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 C
To calculate a, then we use a/ sin A = c / sin C , since we know c and C
i.e a/ sin 50 = 10 / sin 90
recall that sin 90 = 1
then we have a / sin 50 = 10 / 1
cross multiply
a = 10 x sin 50
a = 10 x 0.76604
a = 7.6604
We will calculate b following the same procedure
b/ sin B = c / sin C
b/ sin 40 = 10/ sin 90
b/ sin 40 = 10/ 1
b = 10 x sin 40
b = 10 x 0.64279
b = 6.4279
Therefore a ≈7.6604 , b ≈ 6.4279
