Question

Given the measures b = 10, c = 8.9, and B = 63°, how many triangles can possibly be formed?

Answer 1

Answer: 1

Step-by-step explanation:

Answer 2

Remember that if in a triangle $\alpha \ \textless \ 90$°and $bSin \alpha \ \textless \ a\ \textless \ b$, we can form two tingles. 
In our case: $\alpha =B$, $b=a$, and c=b.

To determine how many triangles we can form with the given measures, we are going to find the value of $cSinB$ first:
$8.9Sin(63)=7.9$
Now, lets check if that value satisfy the inequality $cSinB\ \textless \ b\ \textless \ c$:
$7.9\ \textless \ 10\ \textless \ 8.9$

Our triangle satisfies the inequality; therefore, we can conclude that we can form two triangles with the given measures.