A geometry problem by shiv kumar
Geometry
Level
3
The length of sides of a cyclic quadrilateral are 10 cm, 24 cm, 26 cm, 20 cm. Find its area.
The answer is 366.4.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
Using Brahmagupta's formula (similar to Heron's Rule)
A=sqrt ((s-a)(s-b)(s-c)(s-d))
where s is the semi perimeter= 40 cm and a,b,c and d are the lengths of the quadrilateral.
=sqrt((40-10)(40-24)(40-26)(40-20))
=366.6 or 10sqrt(1344) cm2