Answer:
Explanation:
You want to solve the triangle with A=38°, B=26°, c=9.
Angle sum theorem
The angle sum theorem tells you the sum of angles in a triangle is 180°. This means angle C can be found as ...
A +B +C = 180°
C = 180° -A -B = 180° -38° -26°
C = 116°
Law of sines
The side lengths are in proportion to the sine of the opposite angle:
a = sin(A)·c/sin(C) = sin(38°)·9/sin(116°)
a ≈ 6.2
b = sin(B)·c/sin(C) = sin(26°)·9/sin(116·)
b ≈ 4.4
__
Additional comment
You can check your work using any of a number of triangle solver apps. Your calculator may have one.