Find the area of a triangle with sides of length 19 and 26 a

Find the area of a triangle with sides of length 19 and 26 and included angle 30 degrees.

Area is 123.5 square units.

Area is 124.5 square units.

Area is 125.5 square units.

Area is 126.5 square units.

None of the above.

Solution

Area of triangle= (1/2)a*b sin C

C is the included angle

and a=19 ,b=26 C=30

Therefore area= (1/2)* 19*26 sin 30= 123.5 square units