Respuesta :

Area of triangle = (1/2)*(side1)(side2)*sin(angle between these sides)

A=(1/2)*12*8 sin(65⁰) ≈ 43.5 cm²

Answer:

Area of triangle  =43.5 square cm.

Step-by-step explanation:

Given  : A triangle with sides 12 cm and 8 cm and angle between them is 65 degree.

To find  : Area of triangle .

Solution  : We have given two sides to triangle  = 12 cm  , 8 cm  .

Angle between two sides =  65 degree.

Area of triangle  = [tex]\frac{1}{2} *(ab) (SinC)[/tex]  ( This formula is used when two sides and the angle in between them are known).

Where , a and b are two sides and C is angle between them .

Now, plugging the values

Area of triangle  = [tex]\frac{1}{2}*(12*8)(Sin65)[/tex] .

Area of triangle  = [tex]\frac{1}{2}*(96)(Sin65)[/tex] .

Area of triangle  =43.5 square cm.

Therefore, Area of triangle  =43.5 square cm.