The Area of Shaded region is equal to the difference in Area of rectangle and Area of triangle .
let's solve for area of rectangle :
Now, Area of Triangle :
So, the area of the shaded region in terms of x :
And since, Area of Shaded region = 44 cm²
By equating the area, we get
Value of x = 2
Answer: We can find out the missing statement with help of below explanation.
Step-by-step explanation:
We have a rectangle ABCD with diagonals AC and BD ( shown in given figure.)
We have to prove: Diagonals AC and BD bisect each other.
In triangles, AED and BEC.
( By alternative angle theorem)
( Because ABCD is a rectangle)
( By alternative angle theorem)
By ASA postulate,
By CPCTC, and
⇒ BE= ED and CE=EA
By the definition of bisector, AC and BD bisect each other.
