Given α = 30◦ and b = 10, choose four different values for a so that: (a) the information yields no triangle

(b) the information yields exactly one right triangle

(c) the information yields two distinct triangles

(d) the information yields exactly one obtuse triangle

Please explain/show work.

c

Step-by-step explanation:

An obtuse triangle is a triangle in which one of the angles is an obtuse angle. (Obviously, only a single angle in a triangle can be obtuse or it wouldn't be a triangle.) A triangle must be either obtuse, acute, or right. From the law of cosines, for a triangle with side lengths , , and , (1)

$30.32

step-by-step explanation:

65.00*.12=2.80

65.00-2.80=57.20

57.20*1.06=60.632

60.632/2=30.316