Question

1.) Triangle ABC is given where A=42°, a=3, and b=8. How many distinct triangles can be made with the given measurements? Explain your answer.

a.) 0

b.) 1

c.) 2

d.) 3


2.) Solve the following equation for 0 ≤ ѳ< 2π .


sec^2 ѳ - 6 = -4 (SHOW YOUR WORK!!!)

Answer 1

Answer: a)0

Explanation:

side "a" need to be longer than the height so that the tringle can exist and the height is longer than the side so the tringle cannot exist

height:

`sin42=(x)/(8)`

`x=8sin(42)\\x=5.3`

for the tringle to exist

height< side "a"

5.3> 3

so,

there is no tringle that exist