Question

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

Answer 1

Answer: 1

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.