Answer:
= 135 m²
Explanation:
First we divide the kite into 2 isosceles triangles
The bigger triangle has base angles = 45°
We can use these angle as follows to find the common base of the two triangles.
Cos 45=adjacent/9√2
Adj=9√2×cos 45
=9
common base =9×2=18
We can use the angle 45° above to find the height of the bigger triangle.
Tan 45°=opposite/adjacent
Opposite = adjacent×Tan 45
=9 tan 45=9
Area =1/2BH+1/2Bh where B is the common base H is the height of the big triangle, h represents the height of the smaller triangle.
A=1//2× 18 × 9 +1/2× 18 × 6
= 135 m²