Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements produce one triangle, two triangles, or no triangle at all. Solve each triangle that results.

a equals 9 comma

b equals 8 comma

A equals 50 degrees

B = 42.9°

C = 87.1°

c = 7.4

Step-by-step explanation:

In this problem we are given two sides and one angle of a triangle ABC. The given values are:

a = 9

b = 8

A = 50°

In this case, there wil be only one solution, because the side opposite the given angle (side a) is longer than side b that was also given.

Calculating, let's the the law of sines.

Taking for A & B, we have:

Let's cross multiply

(sin 50°)(8) = 9 sinB

Solving further,

B = 42.9°

Since the total angle of a triangle is 180°, to find C, we have:

C = 180 - 50 - 42.9

C = 87.1°

To find the length of c, let's also use the sine formula.

Cross multiplying

8c = 87.1 sin 42.9

c = 7.4

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step-by-step explanation:

the answer is 11.2 (i know i’m late)