a.
To state: that what happens to a quadrilateral
a.
Answer to Problem 11PSC
The quadrilateral becomes a
Explanation of Solution
Given Information:
Sides of the cyclic quadrilateral
Side
The quadrilateral
Now,
This means, P is coming closer and closer to Q.
As
The smallest value of
After certain point,
When
So, the quadrilateral will transform into a polygon with three sides only.
Thus, it transforms into a triangle.
Hence, the quadrilateral becomes a triangle when
b.
To state: What happens to Brahmagupta’s formula when
b.
Answer to Problem 11PSC
Brahmagupta’s formula becomes Heron’s formula when
Explanation of Solution
Given Information:
Sides of the cyclic quadrilateral are:
At some point of time,
Formula used:
Brahmagupta's formula for area of quadrilateral is
Here,
Calculation:
Sides of the cyclic quadrilateral are:
Brahmagupta's formula for area of quadrilateral is
When
Distance between
This is Heron’s formula for the area of a triangle.
So, when
Chapter 11 Solutions
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