Triangle ABC is inscribed in a circle that is inscribed in a square. If AB,AC and BC are 8,9 and 10 respectively, determine the exact area of the square?

1 Answer
devi f.
Feb 26, 2018

The are of the square would be 110.82

Explanation:

Use Heron;s Rule:

Area of a triangle of sides a,b,c =
#sqrt(s(s-a)(s-b)(s-c)# where
#s=(a+b+c)/2#

Also area of a triangle sides, a,b,c circumscribed by a circle or Radius R is
#(abc)/(4R) #

The square will have sides 2R

Substitute values for a, b. c and solve

I hope my calculations are right

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