Find the area of triangle ABC if the area of triangle CDE is given as 20cm². ABC IS 12 and angle is 25⁰ and 110⁰. CDE is 6cm and the angle is 45⁰ and 25⁰.
To find the area of triangle ABC, we can use the formula for finding the area of a triangle when two sides and the included angle are known:
Area = 1/2 * side1 * side2 * sin(angle)
For triangle ABC:
Side1 = 12 cm, Side2 = 12 cm, Angle = 25⁰
Area(ABC) = 1/2 * 12 * 12 * sin(25⁰)
Area(ABC) = 1/2 * 144 * sin(25⁰)
Area(ABC) = 1/2 * 144 * 0.4226
Area(ABC) ≈ 30.56 cm²
Therefore, the area of triangle ABC is approximately 30.56 cm².