To verify: That the area of the quadrilateral given is
Explanation of Solution
Given Information:
Sides of the triangle are:
Formula used:
Area of a triangle
Here,
Proof:
The quadrilateral has two
1st triangle has two sides
2nd triangle has two of its sides as
Let
The first triangle is a right-angled triangle.
Using Pythagoras theorem, we have
Area of a triangle
Here,
Area of 1st triangle
Now,
Area of 2nd triangle
Now,
Area of the quadrilateral =
Area of the quadrilateral =
Hence, area of the quadrilateral shown is
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