<h2>
Hello!</h2>
The answer is:
The first triangle is:
The second triangle is:
<h2>
Why?</h2>
To solve the triangles, we must remember the Law of Sines form.
Law of Sines can be expressed by the following relationship:
Where,
a, b, and c are sides of the triangle
A, B, and C are angles of the triangle.
We are given,
So, solving the triangles, we have:
<h2>
- First Triangle:</h2>
Finding A, we have:
Finding C, we have:
Now, if the sum of all the interior angles of a triangle is equal to 180°, we have:
Finding c, we have:
Then, now that we know C, we need to look for "c":
So, the first triangle is:
<h2>
- Second Triangle:</h2>
Finding A, we have:
Now, since that there are two triangles that can be formed, (angle and its suplementary angle) there are two possible values for A, and we have:
Finding C, we have:
Then, if the sum of all the interior angles of a triangle is equal to 180°, we have:
Then, now that we know C, we need to look for "c".
Finding c, we have:
so, The second triangle is:
Have a nice day!