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Exploring Brahmagupta's Formula (Posted on 2024-05-13)

What is the largest possible area of a quadrilateral with sides 1,4,7,8?

No Solution Yet Submitted by Danish Ahmed Khan

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per Brahmagupta

| Comment 1 of 2

clc,clearvars

sides=[1,4,7,8];

s=sum(sides)/2

diffs=[s,s,s,s]-sides

K=sqrt(prod(diffs))

finds the largest such area, being that of this quadrilateral inscribed in a circle:

s =

diffs =

9 6 3 2

K =

where K is the desired area, which is the square root of the product of the four differences of the sides from half the sum of the sides.

Posted by Charlie on 2024-05-13 17:11:37

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