Area of any quadilateral = 1/2 × product of diagonals
Area = 1/2 × 24 × 18 = 216 cm²
We can find the length of sides using cosine rule.
It states :
C² = a² + b² - 2ab × cosc
Where a, b are the two sides and c is the angle between them . C is the side opposite to tt angle.
C²= 9² + 12² - 2 × 9 × 12 × cos40⁰
C² = 81 + 144 - 2 × 9 × 12 × 0.8
C² = 225- 172.8
C= [tex]\sqrt{52.2}[/tex]
C=7.2 cm
Thus one side = 7.2 cm
Similarly in other triangle
C² = 12² + 9² - 2 × 12 × 9 × cos140⁰
C² = 12² + 9² - 2 × 12 × 9 × -0.8
C² = 144 + 81 + 172.8
C² = [tex]\sqrt{235 + 172.8}[/tex]
C = 20.2 cm
Hence the 2 sides are 7.2 cm and 20.2 cm . Other sides are opposite to them and thus have same measure
