Question

1. How many triangles are created in the following situation:

Answer 1

Answer:

Step-by-step explanation:

We can use:

$\frac{12}{sin35} = \frac{16}{sinB}$

Solve for sinB

$sinB=\frac{16(sin35)}{12}$

The answer we get from that is: 0.76

With that answer, we can do:

$B=sinx^{-1}(0.76)$

So, since the calculator did NOT put out an error, there is 2 such triangles.  

Answer 2

• <A be 12x
• <B=16x

Another angle must be greater than 12+16=28x.

As ratios of angles and sides are same.

now

• 12x=35
• x=35/12
• x=3(Approx)

So we can create 3 triangles