Question

Consider the triangle ABC like the one below.

Answer 1

C = 116°, A = 6.2° , B = 4.4°

Step-by-step 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 —

Angle A + Angle B + Angle C = 180°

Angle C = 180° - Angle A - Angle B

= 180° - 38° - 26°

C = 116°

According to the law of sin(s)

a = 6.2

b ≈ 4.4

Hope it helps :)

Answer 2

• C = 116°
• a = 6.2
• b = 4.4

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

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Additional comment

You can check your work using any of a number of triangle solver apps. Your calculator may have one.