Solve the​ triangle, if possible. Determine the number of possible solutions.

Question

A=82.4° a=11.6 b=9.8

Photo Link: https://ibb.co/Rj57Hjf

Answer 1

I can't do anything with the address; so I'm guessing.

To figure any triangle 3 measurements are needed. I've got to label your measurments correctly.

Sides: a, b, c.

Angles: α, β, γ.

Vertical list shows opposite.

a=9.8

b=11.6

c=?

α=?

β=?

γ=82.4°

Figuring for side "c": a^2+b^2-2ab(cosγ)=c^2.

9.8^2+11.6^2-2*9.8*11.6(149.535)=200.53^.5=14.16

a/sinα=b/sinβ=c/sinγ

9.8/sinα=11.6/sinβ=14.16/.991=14.729

α=41.708

180-α-γ=β

β=180-41.708-82.4=55.892

Answer 2

Since you are given two of the sides and an angle

You could possibly use the Law of Sines and the Law of Cosine to calculate your triangle

Look them up and give them a try.

What ever you get you should check to see if the requirements to form a triangle are met.