The area of triangle ABC is 24 square centimeters. If B = 30° and a = 6 cm, what is the measure of side c? 4 cm 8 cm 16 cm 32 cm

Answer:16 cmStep-by-step explanation:Given : The area of triangle ABC is 24 square centimeters. To Find: If B = 30° and a = 6 cm, what is the measure of side c? Solution:Formula : [tex]Area = \frac{1}{2} \times a \times c \times sin B[/tex]a = 6Area = 24B = 30°Substitute the values in the formula [tex]24 = \frac{1}{2} \times 6 \times c \times sin 30[/tex] [tex]24 = \frac{1}{2} \times 6 \times c \times \frac{1}{2}[/tex] [tex]24 =3 \times c \times \frac{1}{2}[/tex] [tex]\frac{24 \times 2}{3} =c[/tex] [tex]16=c[/tex]Hence the measure of side c is 16 cmSo, Option c is correct.