What are the lengths of the legs of a right triangle in which one acute angle measures 19° and the hypotenuse is 15 units long?
a) 9 units, 12 units
b) 11 units, 10.2 units
c)4.9 units, 15.8 units
d)4.9 units, 14.2 units
e)5.2 units, 14.1 units

The side opposite the angle 19 degrees is given by 15sin 19 = 4.9 units, while the side adjacent the angle 19 degrees is given by 15cos 19 = 14.2 units.

The legs of a triangle with a hypotenuse that measures 15 units long have lengths that are equal to 15 times the sine or cosine of the given angle.
                      leg 1 = (15 units) x (cos 19) = 14.18 units
                      leg 2 = (15 units) x (sin 19) = 4.88 units
The lengths of the legs are 14.18 units and 4.88 units. 

No a triangle cannot be formed because when you add the two smallest number together (which would be 11) the have to be bigger than the number it is "against" ( which would be 12)