Respuesta :
Area of triangle = (1/2)*(side1)(side2)*sin(angle between these sides)
A=(1/2)*12*8 sin(65⁰) ≈ 43.5 cm²
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.